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Finding the Third Proportional to 78,781.50 and 172,869.75

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Solution

The third proportional to 78,781.50 and 172,869.75 is: 379,327.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,781.50 : 172,869.75 = 172,869.75 : x
  2. Step 2: Convert to fraction form
    78,781.50/172,869.75 = 172,869.75/x
  3. Step 3: Cross multiply
    78,781.50x = 172,869.75 × 172,869.75
  4. Step 4: Simplify right side
    78,781.50x = 29,883,950,465.06
  5. Step 5: Solve for x
    x = 29,883,950,465.06/78,781.50
  6. Step 6: Final answer
    x = 379,327.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.