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Finding the Third Proportional to 113,726 and 249,079

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Solution

The third proportional to 113,726 and 249,079 is: 545,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,726 : 249,079 = 249,079 : x
  2. Step 2: Convert to fraction form
    113,726/249,079 = 249,079/x
  3. Step 3: Cross multiply
    113,726x = 249,079 × 249,079
  4. Step 4: Simplify right side
    113,726x = 62,040,348,241
  5. Step 5: Solve for x
    x = 62,040,348,241/113,726
  6. Step 6: Final answer
    x = 545,524.75

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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.