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Finding the Third Proportional to 113,761.13 and 247,378.01

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Solution

The third proportional to 113,761.13 and 247,378.01 is: 537,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,761.13 : 247,378.01 = 247,378.01 : x
  2. Step 2: Convert to fraction form
    113,761.13/247,378.01 = 247,378.01/x
  3. Step 3: Cross multiply
    113,761.13x = 247,378.01 × 247,378.01
  4. Step 4: Simplify right side
    113,761.13x = 61,195,878,749.28
  5. Step 5: Solve for x
    x = 61,195,878,749.28/113,761.13
  6. Step 6: Final answer
    x = 537,933.14

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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.