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Finding the Third Proportional to 58,701.38 and 89,174.25

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Solution

The third proportional to 58,701.38 and 89,174.25 is: 135,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,701.38 : 89,174.25 = 89,174.25 : x
  2. Step 2: Convert to fraction form
    58,701.38/89,174.25 = 89,174.25/x
  3. Step 3: Cross multiply
    58,701.38x = 89,174.25 × 89,174.25
  4. Step 4: Simplify right side
    58,701.38x = 7,952,046,863.06
  5. Step 5: Solve for x
    x = 7,952,046,863.06/58,701.38
  6. Step 6: Final answer
    x = 135,466.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.