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Finding the Third Proportional to 64,528 and 96,792

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Solution

The third proportional to 64,528 and 96,792 is: 145,188

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,528 : 96,792 = 96,792 : x
  2. Step 2: Convert to fraction form
    64,528/96,792 = 96,792/x
  3. Step 3: Cross multiply
    64,528x = 96,792 × 96,792
  4. Step 4: Simplify right side
    64,528x = 9,368,691,264
  5. Step 5: Solve for x
    x = 9,368,691,264/64,528
  6. Step 6: Final answer
    x = 145,188

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.