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Finding the Third Proportional to 59,023.13 and 89,029.13

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Solution

The third proportional to 59,023.13 and 89,029.13 is: 134,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,023.13 : 89,029.13 = 89,029.13 : x
  2. Step 2: Convert to fraction form
    59,023.13/89,029.13 = 89,029.13/x
  3. Step 3: Cross multiply
    59,023.13x = 89,029.13 × 89,029.13
  4. Step 4: Simplify right side
    59,023.13x = 7,926,185,098.27
  5. Step 5: Solve for x
    x = 7,926,185,098.27/59,023.13
  6. Step 6: Final answer
    x = 134,289.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.