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Finding the Third Proportional to 52,158.75 and 78,481.50

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Solution

The third proportional to 52,158.75 and 78,481.50 is: 118,088.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,158.75 : 78,481.50 = 78,481.50 : x
  2. Step 2: Convert to fraction form
    52,158.75/78,481.50 = 78,481.50/x
  3. Step 3: Cross multiply
    52,158.75x = 78,481.50 × 78,481.50
  4. Step 4: Simplify right side
    52,158.75x = 6,159,345,842.25
  5. Step 5: Solve for x
    x = 6,159,345,842.25/52,158.75
  6. Step 6: Final answer
    x = 118,088.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.