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Finding the Third Proportional to 90,114 and 131,747

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Solution

The third proportional to 90,114 and 131,747 is: 192,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,114 : 131,747 = 131,747 : x
  2. Step 2: Convert to fraction form
    90,114/131,747 = 131,747/x
  3. Step 3: Cross multiply
    90,114x = 131,747 × 131,747
  4. Step 4: Simplify right side
    90,114x = 17,357,272,009
  5. Step 5: Solve for x
    x = 17,357,272,009/90,114
  6. Step 6: Final answer
    x = 192,614.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.