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Finding the Third Proportional to 59,713.50 and 90,242.25

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Solution

The third proportional to 59,713.50 and 90,242.25 is: 136,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,713.50 : 90,242.25 = 90,242.25 : x
  2. Step 2: Convert to fraction form
    59,713.50/90,242.25 = 90,242.25/x
  3. Step 3: Cross multiply
    59,713.50x = 90,242.25 × 90,242.25
  4. Step 4: Simplify right side
    59,713.50x = 8,143,663,685.06
  5. Step 5: Solve for x
    x = 8,143,663,685.06/59,713.50
  6. Step 6: Final answer
    x = 136,378.94

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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.