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Finding the Third Proportional to 113,789 and 247,642.50

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Solution

The third proportional to 113,789 and 247,642.50 is: 538,951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,789 : 247,642.50 = 247,642.50 : x
  2. Step 2: Convert to fraction form
    113,789/247,642.50 = 247,642.50/x
  3. Step 3: Cross multiply
    113,789x = 247,642.50 × 247,642.50
  4. Step 4: Simplify right side
    113,789x = 61,326,807,806.25
  5. Step 5: Solve for x
    x = 61,326,807,806.25/113,789
  6. Step 6: Final answer
    x = 538,951.99

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