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Finding the Third Proportional to 42,456.66 and 86,756.70

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Solution

The third proportional to 42,456.66 and 86,756.70 is: 177,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,456.66 : 86,756.70 = 86,756.70 : x
  2. Step 2: Convert to fraction form
    42,456.66/86,756.70 = 86,756.70/x
  3. Step 3: Cross multiply
    42,456.66x = 86,756.70 × 86,756.70
  4. Step 4: Simplify right side
    42,456.66x = 7,526,724,181.55
  5. Step 5: Solve for x
    x = 7,526,724,181.55/42,456.66
  6. Step 6: Final answer
    x = 177,280.19

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.