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Finding the Third Proportional to 103,791.38 and 133,088.06

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Solution

The third proportional to 103,791.38 and 133,088.06 is: 170,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,791.38 : 133,088.06 = 133,088.06 : x
  2. Step 2: Convert to fraction form
    103,791.38/133,088.06 = 133,088.06/x
  3. Step 3: Cross multiply
    103,791.38x = 133,088.06 × 133,088.06
  4. Step 4: Simplify right side
    103,791.38x = 17,712,432,380.00
  5. Step 5: Solve for x
    x = 17,712,432,380.00/103,791.38
  6. Step 6: Final answer
    x = 170,654.18

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.