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Finding the Third Proportional to 62,464 and 128,528

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Solution

The third proportional to 62,464 and 128,528 is: 264,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,464 : 128,528 = 128,528 : x
  2. Step 2: Convert to fraction form
    62,464/128,528 = 128,528/x
  3. Step 3: Cross multiply
    62,464x = 128,528 × 128,528
  4. Step 4: Simplify right side
    62,464x = 16,519,446,784
  5. Step 5: Solve for x
    x = 16,519,446,784/62,464
  6. Step 6: Final answer
    x = 264,463.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.