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Finding the Third Proportional to 75,246.47 and 115,671.80

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Solution

The third proportional to 75,246.47 and 115,671.80 is: 177,815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,246.47 : 115,671.80 = 115,671.80 : x
  2. Step 2: Convert to fraction form
    75,246.47/115,671.80 = 115,671.80/x
  3. Step 3: Cross multiply
    75,246.47x = 115,671.80 × 115,671.80
  4. Step 4: Simplify right side
    75,246.47x = 13,379,964,592.29
  5. Step 5: Solve for x
    x = 13,379,964,592.29/75,246.47
  6. Step 6: Final answer
    x = 177,815.18

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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.