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Finding the Third Proportional to 75,537 and 111,217

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Solution

The third proportional to 75,537 and 111,217 is: 163,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,537 : 111,217 = 111,217 : x
  2. Step 2: Convert to fraction form
    75,537/111,217 = 111,217/x
  3. Step 3: Cross multiply
    75,537x = 111,217 × 111,217
  4. Step 4: Simplify right side
    75,537x = 12,369,221,089
  5. Step 5: Solve for x
    x = 12,369,221,089/75,537
  6. Step 6: Final answer
    x = 163,750.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.