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Finding the Third Proportional to 101,178.75 and 148,487.63

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Solution

The third proportional to 101,178.75 and 148,487.63 is: 217,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,178.75 : 148,487.63 = 148,487.63 : x
  2. Step 2: Convert to fraction form
    101,178.75/148,487.63 = 148,487.63/x
  3. Step 3: Cross multiply
    101,178.75x = 148,487.63 × 148,487.63
  4. Step 4: Simplify right side
    101,178.75x = 22,048,574,778.14
  5. Step 5: Solve for x
    x = 22,048,574,778.14/101,178.75
  6. Step 6: Final answer
    x = 217,917.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.