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Finding the Third Proportional to 132,427.13 and 201,700.69

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Solution

The third proportional to 132,427.13 and 201,700.69 is: 307,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,427.13 : 201,700.69 = 201,700.69 : x
  2. Step 2: Convert to fraction form
    132,427.13/201,700.69 = 201,700.69/x
  3. Step 3: Cross multiply
    132,427.13x = 201,700.69 × 201,700.69
  4. Step 4: Simplify right side
    132,427.13x = 40,683,167,337.97
  5. Step 5: Solve for x
    x = 40,683,167,337.97/132,427.13
  6. Step 6: Final answer
    x = 307,211.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.