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Finding the Third Proportional to 52,247.50 and 78,370.50

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Solution

The third proportional to 52,247.50 and 78,370.50 is: 117,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,247.50 : 78,370.50 = 78,370.50 : x
  2. Step 2: Convert to fraction form
    52,247.50/78,370.50 = 78,370.50/x
  3. Step 3: Cross multiply
    52,247.50x = 78,370.50 × 78,370.50
  4. Step 4: Simplify right side
    52,247.50x = 6,141,935,270.25
  5. Step 5: Solve for x
    x = 6,141,935,270.25/52,247.50
  6. Step 6: Final answer
    x = 117,554.63

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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.