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Finding the Third Proportional to 62,256 and 96,559

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Solution

The third proportional to 62,256 and 96,559 is: 149,762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,256 : 96,559 = 96,559 : x
  2. Step 2: Convert to fraction form
    62,256/96,559 = 96,559/x
  3. Step 3: Cross multiply
    62,256x = 96,559 × 96,559
  4. Step 4: Simplify right side
    62,256x = 9,323,640,481
  5. Step 5: Solve for x
    x = 9,323,640,481/62,256
  6. Step 6: Final answer
    x = 149,762.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.