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Finding the Third Proportional to 78,641.25 and 171,106

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Solution

The third proportional to 78,641.25 and 171,106 is: 372,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,641.25 : 171,106 = 171,106 : x
  2. Step 2: Convert to fraction form
    78,641.25/171,106 = 171,106/x
  3. Step 3: Cross multiply
    78,641.25x = 171,106 × 171,106
  4. Step 4: Simplify right side
    78,641.25x = 29,277,263,236
  5. Step 5: Solve for x
    x = 29,277,263,236/78,641.25
  6. Step 6: Final answer
    x = 372,288.88

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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.