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Finding the Third Proportional to 63,248 and 140,498

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Solution

The third proportional to 63,248 and 140,498 is: 312,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,248 : 140,498 = 140,498 : x
  2. Step 2: Convert to fraction form
    63,248/140,498 = 140,498/x
  3. Step 3: Cross multiply
    63,248x = 140,498 × 140,498
  4. Step 4: Simplify right side
    63,248x = 19,739,688,004
  5. Step 5: Solve for x
    x = 19,739,688,004/63,248
  6. Step 6: Final answer
    x = 312,099.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.