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Finding the Third Proportional to 101,178 and 145,750.50

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Solution

The third proportional to 101,178 and 145,750.50 is: 209,958.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,178 : 145,750.50 = 145,750.50 : x
  2. Step 2: Convert to fraction form
    101,178/145,750.50 = 145,750.50/x
  3. Step 3: Cross multiply
    101,178x = 145,750.50 × 145,750.50
  4. Step 4: Simplify right side
    101,178x = 21,243,208,250.25
  5. Step 5: Solve for x
    x = 21,243,208,250.25/101,178
  6. Step 6: Final answer
    x = 209,958.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.