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Finding the Third Proportional to 91,058.50 and 137,857.25

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Solution

The third proportional to 91,058.50 and 137,857.25 is: 208,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,058.50 : 137,857.25 = 137,857.25 : x
  2. Step 2: Convert to fraction form
    91,058.50/137,857.25 = 137,857.25/x
  3. Step 3: Cross multiply
    91,058.50x = 137,857.25 × 137,857.25
  4. Step 4: Simplify right side
    91,058.50x = 19,004,621,377.56
  5. Step 5: Solve for x
    x = 19,004,621,377.56/91,058.50
  6. Step 6: Final answer
    x = 208,707.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.