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Finding the Third Proportional to 75,537 and 111,217.50

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Solution

The third proportional to 75,537 and 111,217.50 is: 163,751.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,537 : 111,217.50 = 111,217.50 : x
  2. Step 2: Convert to fraction form
    75,537/111,217.50 = 111,217.50/x
  3. Step 3: Cross multiply
    75,537x = 111,217.50 × 111,217.50
  4. Step 4: Simplify right side
    75,537x = 12,369,332,306.25
  5. Step 5: Solve for x
    x = 12,369,332,306.25/75,537
  6. Step 6: Final answer
    x = 163,751.97

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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.