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Finding the Third Proportional to 86,011.13 and 92,572.13

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Solution

The third proportional to 86,011.13 and 92,572.13 is: 99,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,011.13 : 92,572.13 = 92,572.13 : x
  2. Step 2: Convert to fraction form
    86,011.13/92,572.13 = 92,572.13/x
  3. Step 3: Cross multiply
    86,011.13x = 92,572.13 × 92,572.13
  4. Step 4: Simplify right side
    86,011.13x = 8,569,598,327.02
  5. Step 5: Solve for x
    x = 8,569,598,327.02/86,011.13
  6. Step 6: Final answer
    x = 99,633.60

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.