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Finding the Third Proportional to 113,736 and 247,641

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Solution

The third proportional to 113,736 and 247,641 is: 539,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,736 : 247,641 = 247,641 : x
  2. Step 2: Convert to fraction form
    113,736/247,641 = 247,641/x
  3. Step 3: Cross multiply
    113,736x = 247,641 × 247,641
  4. Step 4: Simplify right side
    113,736x = 61,326,064,881
  5. Step 5: Solve for x
    x = 61,326,064,881/113,736
  6. Step 6: Final answer
    x = 539,196.60

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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.