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Finding the Third Proportional to 63,306 and 137,396

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Solution

The third proportional to 63,306 and 137,396 is: 298,197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,306 : 137,396 = 137,396 : x
  2. Step 2: Convert to fraction form
    63,306/137,396 = 137,396/x
  3. Step 3: Cross multiply
    63,306x = 137,396 × 137,396
  4. Step 4: Simplify right side
    63,306x = 18,877,660,816
  5. Step 5: Solve for x
    x = 18,877,660,816/63,306
  6. Step 6: Final answer
    x = 298,197.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.