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Finding the Third Proportional to 59,788.13 and 81,232.88

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Solution

The third proportional to 59,788.13 and 81,232.88 is: 110,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,788.13 : 81,232.88 = 81,232.88 : x
  2. Step 2: Convert to fraction form
    59,788.13/81,232.88 = 81,232.88/x
  3. Step 3: Cross multiply
    59,788.13x = 81,232.88 × 81,232.88
  4. Step 4: Simplify right side
    59,788.13x = 6,598,779,980.77
  5. Step 5: Solve for x
    x = 6,598,779,980.77/59,788.13
  6. Step 6: Final answer
    x = 110,369.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.