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Finding the Third Proportional to 120,462.19 and 187,363.13

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Solution

The third proportional to 120,462.19 and 187,363.13 is: 291,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,462.19 : 187,363.13 = 187,363.13 : x
  2. Step 2: Convert to fraction form
    120,462.19/187,363.13 = 187,363.13/x
  3. Step 3: Cross multiply
    120,462.19x = 187,363.13 × 187,363.13
  4. Step 4: Simplify right side
    120,462.19x = 35,104,940,609.77
  5. Step 5: Solve for x
    x = 35,104,940,609.77/120,462.19
  6. Step 6: Final answer
    x = 291,418.75

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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.