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Finding the Third Proportional to 113,853 and 249,573

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Solution

The third proportional to 113,853 and 249,573 is: 547,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,853 : 249,573 = 249,573 : x
  2. Step 2: Convert to fraction form
    113,853/249,573 = 249,573/x
  3. Step 3: Cross multiply
    113,853x = 249,573 × 249,573
  4. Step 4: Simplify right side
    113,853x = 62,286,682,329
  5. Step 5: Solve for x
    x = 62,286,682,329/113,853
  6. Step 6: Final answer
    x = 547,079.85

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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.