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Finding the Third Proportional to 132,090 and 257,565

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Solution

The third proportional to 132,090 and 257,565 is: 502,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,090 : 257,565 = 257,565 : x
  2. Step 2: Convert to fraction form
    132,090/257,565 = 257,565/x
  3. Step 3: Cross multiply
    132,090x = 257,565 × 257,565
  4. Step 4: Simplify right side
    132,090x = 66,339,729,225
  5. Step 5: Solve for x
    x = 66,339,729,225/132,090
  6. Step 6: Final answer
    x = 502,231.28

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.