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Finding the Third Proportional to 113,904 and 249,747

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Solution

The third proportional to 113,904 and 249,747 is: 547,597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,904 : 249,747 = 249,747 : x
  2. Step 2: Convert to fraction form
    113,904/249,747 = 249,747/x
  3. Step 3: Cross multiply
    113,904x = 249,747 × 249,747
  4. Step 4: Simplify right side
    113,904x = 62,373,564,009
  5. Step 5: Solve for x
    x = 62,373,564,009/113,904
  6. Step 6: Final answer
    x = 547,597.66

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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.