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Finding the Third Proportional to 90,463.50 and 132,985.13

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Solution

The third proportional to 90,463.50 and 132,985.13 is: 195,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,463.50 : 132,985.13 = 132,985.13 : x
  2. Step 2: Convert to fraction form
    90,463.50/132,985.13 = 132,985.13/x
  3. Step 3: Cross multiply
    90,463.50x = 132,985.13 × 132,985.13
  4. Step 4: Simplify right side
    90,463.50x = 17,685,043,471.27
  5. Step 5: Solve for x
    x = 17,685,043,471.27/90,463.50
  6. Step 6: Final answer
    x = 195,493.69

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Why These Related Problems?

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