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Finding the Third Proportional to 113,637 and 247,169.25

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Solution

The third proportional to 113,637 and 247,169.25 is: 537,612.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,637 : 247,169.25 = 247,169.25 : x
  2. Step 2: Convert to fraction form
    113,637/247,169.25 = 247,169.25/x
  3. Step 3: Cross multiply
    113,637x = 247,169.25 × 247,169.25
  4. Step 4: Simplify right side
    113,637x = 61,092,638,145.56
  5. Step 5: Solve for x
    x = 61,092,638,145.56/113,637
  6. Step 6: Final answer
    x = 537,612.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.