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Finding the Third Proportional to 90,529.13 and 133,019.06

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Solution

The third proportional to 90,529.13 and 133,019.06 is: 195,451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,529.13 : 133,019.06 = 133,019.06 : x
  2. Step 2: Convert to fraction form
    90,529.13/133,019.06 = 133,019.06/x
  3. Step 3: Cross multiply
    90,529.13x = 133,019.06 × 133,019.06
  4. Step 4: Simplify right side
    90,529.13x = 17,694,070,988.38
  5. Step 5: Solve for x
    x = 17,694,070,988.38/90,529.13
  6. Step 6: Final answer
    x = 195,451.70

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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.