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Finding the Third Proportional to 63,928 and 149,312

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Solution

The third proportional to 63,928 and 149,312 is: 348,737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,928 : 149,312 = 149,312 : x
  2. Step 2: Convert to fraction form
    63,928/149,312 = 149,312/x
  3. Step 3: Cross multiply
    63,928x = 149,312 × 149,312
  4. Step 4: Simplify right side
    63,928x = 22,294,073,344
  5. Step 5: Solve for x
    x = 22,294,073,344/63,928
  6. Step 6: Final answer
    x = 348,737.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.