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Finding the Third Proportional to 129,205.13 and 193,951.13

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Solution

The third proportional to 129,205.13 and 193,951.13 is: 291,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205.13 : 193,951.13 = 193,951.13 : x
  2. Step 2: Convert to fraction form
    129,205.13/193,951.13 = 193,951.13/x
  3. Step 3: Cross multiply
    129,205.13x = 193,951.13 × 193,951.13
  4. Step 4: Simplify right side
    129,205.13x = 37,617,038,888.77
  5. Step 5: Solve for x
    x = 37,617,038,888.77/129,205.13
  6. Step 6: Final answer
    x = 291,142.00

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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.