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Finding the Third Proportional to 52,570.50 and 78,838.50

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Solution

The third proportional to 52,570.50 and 78,838.50 is: 118,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,570.50 : 78,838.50 = 78,838.50 : x
  2. Step 2: Convert to fraction form
    52,570.50/78,838.50 = 78,838.50/x
  3. Step 3: Cross multiply
    52,570.50x = 78,838.50 × 78,838.50
  4. Step 4: Simplify right side
    52,570.50x = 6,215,509,082.25
  5. Step 5: Solve for x
    x = 6,215,509,082.25/52,570.50
  6. Step 6: Final answer
    x = 118,231.88

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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.