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Finding the Third Proportional to 99,331 and 127,537

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Solution

The third proportional to 99,331 and 127,537 is: 163,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,331 : 127,537 = 127,537 : x
  2. Step 2: Convert to fraction form
    99,331/127,537 = 127,537/x
  3. Step 3: Cross multiply
    99,331x = 127,537 × 127,537
  4. Step 4: Simplify right side
    99,331x = 16,265,686,369
  5. Step 5: Solve for x
    x = 16,265,686,369/99,331
  6. Step 6: Final answer
    x = 163,752.37

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.