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Finding the Third Proportional to 113,281 and 249,026

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Solution

The third proportional to 113,281 and 249,026 is: 547,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,281 : 249,026 = 249,026 : x
  2. Step 2: Convert to fraction form
    113,281/249,026 = 249,026/x
  3. Step 3: Cross multiply
    113,281x = 249,026 × 249,026
  4. Step 4: Simplify right side
    113,281x = 62,013,948,676
  5. Step 5: Solve for x
    x = 62,013,948,676/113,281
  6. Step 6: Final answer
    x = 547,434.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.