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Finding the Third Proportional to 130,781.50 and 185,107

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Solution

The third proportional to 130,781.50 and 185,107 is: 261,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,781.50 : 185,107 = 185,107 : x
  2. Step 2: Convert to fraction form
    130,781.50/185,107 = 185,107/x
  3. Step 3: Cross multiply
    130,781.50x = 185,107 × 185,107
  4. Step 4: Simplify right side
    130,781.50x = 34,264,601,449
  5. Step 5: Solve for x
    x = 34,264,601,449/130,781.50
  6. Step 6: Final answer
    x = 261,998.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.