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Finding the Third Proportional to 101,197.50 and 148,515.75

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Solution

The third proportional to 101,197.50 and 148,515.75 is: 217,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,197.50 : 148,515.75 = 148,515.75 : x
  2. Step 2: Convert to fraction form
    101,197.50/148,515.75 = 148,515.75/x
  3. Step 3: Cross multiply
    101,197.50x = 148,515.75 × 148,515.75
  4. Step 4: Simplify right side
    101,197.50x = 22,056,927,998.06
  5. Step 5: Solve for x
    x = 22,056,927,998.06/101,197.50
  6. Step 6: Final answer
    x = 217,959.22

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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.