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Finding the Third Proportional to 132,889 and 201,792

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Solution

The third proportional to 132,889 and 201,792 is: 306,421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,889 : 201,792 = 201,792 : x
  2. Step 2: Convert to fraction form
    132,889/201,792 = 201,792/x
  3. Step 3: Cross multiply
    132,889x = 201,792 × 201,792
  4. Step 4: Simplify right side
    132,889x = 40,720,011,264
  5. Step 5: Solve for x
    x = 40,720,011,264/132,889
  6. Step 6: Final answer
    x = 306,421.23

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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.