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Finding the Third Proportional to 83,666.04 and 127,460.14

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Solution

The third proportional to 83,666.04 and 127,460.14 is: 194,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,666.04 : 127,460.14 = 127,460.14 : x
  2. Step 2: Convert to fraction form
    83,666.04/127,460.14 = 127,460.14/x
  3. Step 3: Cross multiply
    83,666.04x = 127,460.14 × 127,460.14
  4. Step 4: Simplify right side
    83,666.04x = 16,246,088,443.93
  5. Step 5: Solve for x
    x = 16,246,088,443.93/83,666.04
  6. Step 6: Final answer
    x = 194,177.81

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Why These Related Problems?

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