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Finding the Third Proportional to 95,360 and 140,122.50

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Solution

The third proportional to 95,360 and 140,122.50 is: 205,896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,360 : 140,122.50 = 140,122.50 : x
  2. Step 2: Convert to fraction form
    95,360/140,122.50 = 140,122.50/x
  3. Step 3: Cross multiply
    95,360x = 140,122.50 × 140,122.50
  4. Step 4: Simplify right side
    95,360x = 19,634,315,006.25
  5. Step 5: Solve for x
    x = 19,634,315,006.25/95,360
  6. Step 6: Final answer
    x = 205,896.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.