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Finding the Third Proportional to 78,792.75 and 175,081.50

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Solution

The third proportional to 78,792.75 and 175,081.50 is: 389,040.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,792.75 : 175,081.50 = 175,081.50 : x
  2. Step 2: Convert to fraction form
    78,792.75/175,081.50 = 175,081.50/x
  3. Step 3: Cross multiply
    78,792.75x = 175,081.50 × 175,081.50
  4. Step 4: Simplify right side
    78,792.75x = 30,653,531,642.25
  5. Step 5: Solve for x
    x = 30,653,531,642.25/78,792.75
  6. Step 6: Final answer
    x = 389,040.00

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.