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Finding the Third Proportional to 78,104.25 and 161,746.88

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Solution

The third proportional to 78,104.25 and 161,746.88 is: 334,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,104.25 : 161,746.88 = 161,746.88 : x
  2. Step 2: Convert to fraction form
    78,104.25/161,746.88 = 161,746.88/x
  3. Step 3: Cross multiply
    78,104.25x = 161,746.88 × 161,746.88
  4. Step 4: Simplify right side
    78,104.25x = 26,162,051,572.27
  5. Step 5: Solve for x
    x = 26,162,051,572.27/78,104.25
  6. Step 6: Final answer
    x = 334,963.23

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.