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Finding the Third Proportional to 61,600.13 and 133,656.88

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Solution

The third proportional to 61,600.13 and 133,656.88 is: 290,002.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,600.13 : 133,656.88 = 133,656.88 : x
  2. Step 2: Convert to fraction form
    61,600.13/133,656.88 = 133,656.88/x
  3. Step 3: Cross multiply
    61,600.13x = 133,656.88 × 133,656.88
  4. Step 4: Simplify right side
    61,600.13x = 17,864,160,234.77
  5. Step 5: Solve for x
    x = 17,864,160,234.77/61,600.13
  6. Step 6: Final answer
    x = 290,002.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.