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Finding the Third Proportional to 49,261.50 and 78,015

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Solution

The third proportional to 49,261.50 and 78,015 is: 123,551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,261.50 : 78,015 = 78,015 : x
  2. Step 2: Convert to fraction form
    49,261.50/78,015 = 78,015/x
  3. Step 3: Cross multiply
    49,261.50x = 78,015 × 78,015
  4. Step 4: Simplify right side
    49,261.50x = 6,086,340,225
  5. Step 5: Solve for x
    x = 6,086,340,225/49,261.50
  6. Step 6: Final answer
    x = 123,551.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.