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Finding the Third Proportional to 132,040 and 285,122

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Solution

The third proportional to 132,040 and 285,122 is: 615,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,040 : 285,122 = 285,122 : x
  2. Step 2: Convert to fraction form
    132,040/285,122 = 285,122/x
  3. Step 3: Cross multiply
    132,040x = 285,122 × 285,122
  4. Step 4: Simplify right side
    132,040x = 81,294,554,884
  5. Step 5: Solve for x
    x = 81,294,554,884/132,040
  6. Step 6: Final answer
    x = 615,681.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.