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Finding the Third Proportional to 120,217.50 and 187,130.25

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Solution

The third proportional to 120,217.50 and 187,130.25 is: 291,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,217.50 : 187,130.25 = 187,130.25 : x
  2. Step 2: Convert to fraction form
    120,217.50/187,130.25 = 187,130.25/x
  3. Step 3: Cross multiply
    120,217.50x = 187,130.25 × 187,130.25
  4. Step 4: Simplify right side
    120,217.50x = 35,017,730,465.06
  5. Step 5: Solve for x
    x = 35,017,730,465.06/120,217.50
  6. Step 6: Final answer
    x = 291,286.46

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.