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Finding the Third Proportional to 87,488.50 and 132,964

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Solution

The third proportional to 87,488.50 and 132,964 is: 202,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,488.50 : 132,964 = 132,964 : x
  2. Step 2: Convert to fraction form
    87,488.50/132,964 = 132,964/x
  3. Step 3: Cross multiply
    87,488.50x = 132,964 × 132,964
  4. Step 4: Simplify right side
    87,488.50x = 17,679,425,296
  5. Step 5: Solve for x
    x = 17,679,425,296/87,488.50
  6. Step 6: Final answer
    x = 202,077.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.