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Finding the Third Proportional to 74,747 and 115,425.50

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Solution

The third proportional to 74,747 and 115,425.50 is: 178,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,747 : 115,425.50 = 115,425.50 : x
  2. Step 2: Convert to fraction form
    74,747/115,425.50 = 115,425.50/x
  3. Step 3: Cross multiply
    74,747x = 115,425.50 × 115,425.50
  4. Step 4: Simplify right side
    74,747x = 13,323,046,050.25
  5. Step 5: Solve for x
    x = 13,323,046,050.25/74,747
  6. Step 6: Final answer
    x = 178,241.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.