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Finding the Third Proportional to 78,051.09 and 167,945.91

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Solution

The third proportional to 78,051.09 and 167,945.91 is: 361,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,051.09 : 167,945.91 = 167,945.91 : x
  2. Step 2: Convert to fraction form
    78,051.09/167,945.91 = 167,945.91/x
  3. Step 3: Cross multiply
    78,051.09x = 167,945.91 × 167,945.91
  4. Step 4: Simplify right side
    78,051.09x = 28,205,827,426.13
  5. Step 5: Solve for x
    x = 28,205,827,426.13/78,051.09
  6. Step 6: Final answer
    x = 361,376.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.