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Finding the Third Proportional to 52,528.50 and 78,846.54

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Solution

The third proportional to 52,528.50 and 78,846.54 is: 118,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,528.50 : 78,846.54 = 78,846.54 : x
  2. Step 2: Convert to fraction form
    52,528.50/78,846.54 = 78,846.54/x
  3. Step 3: Cross multiply
    52,528.50x = 78,846.54 × 78,846.54
  4. Step 4: Simplify right side
    52,528.50x = 6,216,776,722.13
  5. Step 5: Solve for x
    x = 6,216,776,722.13/52,528.50
  6. Step 6: Final answer
    x = 118,350.55

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Why These Related Problems?

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