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Finding the Third Proportional to 95,712 and 223,549.50

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Solution

The third proportional to 95,712 and 223,549.50 is: 522,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,712 : 223,549.50 = 223,549.50 : x
  2. Step 2: Convert to fraction form
    95,712/223,549.50 = 223,549.50/x
  3. Step 3: Cross multiply
    95,712x = 223,549.50 × 223,549.50
  4. Step 4: Simplify right side
    95,712x = 49,974,378,950.25
  5. Step 5: Solve for x
    x = 49,974,378,950.25/95,712
  6. Step 6: Final answer
    x = 522,132.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.