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Finding the Third Proportional to 50,748 and 108,537

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Solution

The third proportional to 50,748 and 108,537 is: 232,132.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,748 : 108,537 = 108,537 : x
  2. Step 2: Convert to fraction form
    50,748/108,537 = 108,537/x
  3. Step 3: Cross multiply
    50,748x = 108,537 × 108,537
  4. Step 4: Simplify right side
    50,748x = 11,780,280,369
  5. Step 5: Solve for x
    x = 11,780,280,369/50,748
  6. Step 6: Final answer
    x = 232,132.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.