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Finding the Third Proportional to 113,874 and 249,924

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Solution

The third proportional to 113,874 and 249,924 is: 548,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,874 : 249,924 = 249,924 : x
  2. Step 2: Convert to fraction form
    113,874/249,924 = 249,924/x
  3. Step 3: Cross multiply
    113,874x = 249,924 × 249,924
  4. Step 4: Simplify right side
    113,874x = 62,462,005,776
  5. Step 5: Solve for x
    x = 62,462,005,776/113,874
  6. Step 6: Final answer
    x = 548,518.59

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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.