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Finding the Third Proportional to 115,092 and 249,867

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Solution

The third proportional to 115,092 and 249,867 is: 542,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,092 : 249,867 = 249,867 : x
  2. Step 2: Convert to fraction form
    115,092/249,867 = 249,867/x
  3. Step 3: Cross multiply
    115,092x = 249,867 × 249,867
  4. Step 4: Simplify right side
    115,092x = 62,433,517,689
  5. Step 5: Solve for x
    x = 62,433,517,689/115,092
  6. Step 6: Final answer
    x = 542,466.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.