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Finding the Third Proportional to 91,372.50 and 137,058.50

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Solution

The third proportional to 91,372.50 and 137,058.50 is: 205,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,372.50 : 137,058.50 = 137,058.50 : x
  2. Step 2: Convert to fraction form
    91,372.50/137,058.50 = 137,058.50/x
  3. Step 3: Cross multiply
    91,372.50x = 137,058.50 × 137,058.50
  4. Step 4: Simplify right side
    91,372.50x = 18,785,032,422.25
  5. Step 5: Solve for x
    x = 18,785,032,422.25/91,372.50
  6. Step 6: Final answer
    x = 205,587.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.