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Finding the Third Proportional to 113,765 and 247,386

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Solution

The third proportional to 113,765 and 247,386 is: 537,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,765 : 247,386 = 247,386 : x
  2. Step 2: Convert to fraction form
    113,765/247,386 = 247,386/x
  3. Step 3: Cross multiply
    113,765x = 247,386 × 247,386
  4. Step 4: Simplify right side
    113,765x = 61,199,832,996
  5. Step 5: Solve for x
    x = 61,199,832,996/113,765
  6. Step 6: Final answer
    x = 537,949.57

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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.