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Finding the Third Proportional to 129,307.13 and 201,159.75

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Solution

The third proportional to 129,307.13 and 201,159.75 is: 312,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,307.13 : 201,159.75 = 201,159.75 : x
  2. Step 2: Convert to fraction form
    129,307.13/201,159.75 = 201,159.75/x
  3. Step 3: Cross multiply
    129,307.13x = 201,159.75 × 201,159.75
  4. Step 4: Simplify right side
    129,307.13x = 40,465,245,020.06
  5. Step 5: Solve for x
    x = 40,465,245,020.06/129,307.13
  6. Step 6: Final answer
    x = 312,939.02

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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.