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Finding the Third Proportional to 63,774 and 140,122.13

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Solution

The third proportional to 63,774 and 140,122.13 is: 307,871.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,774 : 140,122.13 = 140,122.13 : x
  2. Step 2: Convert to fraction form
    63,774/140,122.13 = 140,122.13/x
  3. Step 3: Cross multiply
    63,774x = 140,122.13 × 140,122.13
  4. Step 4: Simplify right side
    63,774x = 19,634,209,914.52
  5. Step 5: Solve for x
    x = 19,634,209,914.52/63,774
  6. Step 6: Final answer
    x = 307,871.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.