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Finding the Third Proportional to 57,283.61 and 84,171.74

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Solution

The third proportional to 57,283.61 and 84,171.74 is: 123,680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,283.61 : 84,171.74 = 84,171.74 : x
  2. Step 2: Convert to fraction form
    57,283.61/84,171.74 = 84,171.74/x
  3. Step 3: Cross multiply
    57,283.61x = 84,171.74 × 84,171.74
  4. Step 4: Simplify right side
    57,283.61x = 7,084,881,032.09
  5. Step 5: Solve for x
    x = 7,084,881,032.09/57,283.61
  6. Step 6: Final answer
    x = 123,680.77

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.