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Finding the Third Proportional to 87,122.50 and 128,132

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Solution

The third proportional to 87,122.50 and 128,132 is: 188,445.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,122.50 : 128,132 = 128,132 : x
  2. Step 2: Convert to fraction form
    87,122.50/128,132 = 128,132/x
  3. Step 3: Cross multiply
    87,122.50x = 128,132 × 128,132
  4. Step 4: Simplify right side
    87,122.50x = 16,417,809,424
  5. Step 5: Solve for x
    x = 16,417,809,424/87,122.50
  6. Step 6: Final answer
    x = 188,445.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.