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Finding the Third Proportional to 63,746 and 140,074

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Solution

The third proportional to 63,746 and 140,074 is: 307,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,746 : 140,074 = 140,074 : x
  2. Step 2: Convert to fraction form
    63,746/140,074 = 140,074/x
  3. Step 3: Cross multiply
    63,746x = 140,074 × 140,074
  4. Step 4: Simplify right side
    63,746x = 19,620,725,476
  5. Step 5: Solve for x
    x = 19,620,725,476/63,746
  6. Step 6: Final answer
    x = 307,795.40

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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.