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Finding the Third Proportional to 89,029.13 and 129,534.19

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Solution

The third proportional to 89,029.13 and 129,534.19 is: 188,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,029.13 : 129,534.19 = 129,534.19 : x
  2. Step 2: Convert to fraction form
    89,029.13/129,534.19 = 129,534.19/x
  3. Step 3: Cross multiply
    89,029.13x = 129,534.19 × 129,534.19
  4. Step 4: Simplify right side
    89,029.13x = 16,779,105,731.29
  5. Step 5: Solve for x
    x = 16,779,105,731.29/89,029.13
  6. Step 6: Final answer
    x = 188,467.60

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.