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Finding the Third Proportional to 60,678.50 and 133,020.88

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Solution

The third proportional to 60,678.50 and 133,020.88 is: 291,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,678.50 : 133,020.88 = 133,020.88 : x
  2. Step 2: Convert to fraction form
    60,678.50/133,020.88 = 133,020.88/x
  3. Step 3: Cross multiply
    60,678.50x = 133,020.88 × 133,020.88
  4. Step 4: Simplify right side
    60,678.50x = 17,694,553,185.77
  5. Step 5: Solve for x
    x = 17,694,553,185.77/60,678.50
  6. Step 6: Final answer
    x = 291,611.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.