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Finding the Third Proportional to 61,497.56 and 133,656.75

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Solution

The third proportional to 61,497.56 and 133,656.75 is: 290,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,497.56 : 133,656.75 = 133,656.75 : x
  2. Step 2: Convert to fraction form
    61,497.56/133,656.75 = 133,656.75/x
  3. Step 3: Cross multiply
    61,497.56x = 133,656.75 × 133,656.75
  4. Step 4: Simplify right side
    61,497.56x = 17,864,126,820.56
  5. Step 5: Solve for x
    x = 17,864,126,820.56/61,497.56
  6. Step 6: Final answer
    x = 290,485.12

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