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Finding the Third Proportional to 113,902 and 249,743

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Solution

The third proportional to 113,902 and 249,743 is: 547,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,902 : 249,743 = 249,743 : x
  2. Step 2: Convert to fraction form
    113,902/249,743 = 249,743/x
  3. Step 3: Cross multiply
    113,902x = 249,743 × 249,743
  4. Step 4: Simplify right side
    113,902x = 62,371,566,049
  5. Step 5: Solve for x
    x = 62,371,566,049/113,902
  6. Step 6: Final answer
    x = 547,589.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.