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Finding the Third Proportional to 129,610.13 and 201,156.75

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Solution

The third proportional to 129,610.13 and 201,156.75 is: 312,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,610.13 : 201,156.75 = 201,156.75 : x
  2. Step 2: Convert to fraction form
    129,610.13/201,156.75 = 201,156.75/x
  3. Step 3: Cross multiply
    129,610.13x = 201,156.75 × 201,156.75
  4. Step 4: Simplify right side
    129,610.13x = 40,464,038,070.56
  5. Step 5: Solve for x
    x = 40,464,038,070.56/129,610.13
  6. Step 6: Final answer
    x = 312,198.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.