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Finding the Third Proportional to 113,763 and 247,382

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Solution

The third proportional to 113,763 and 247,382 is: 537,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,763 : 247,382 = 247,382 : x
  2. Step 2: Convert to fraction form
    113,763/247,382 = 247,382/x
  3. Step 3: Cross multiply
    113,763x = 247,382 × 247,382
  4. Step 4: Simplify right side
    113,763x = 61,197,853,924
  5. Step 5: Solve for x
    x = 61,197,853,924/113,763
  6. Step 6: Final answer
    x = 537,941.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.