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Finding the Third Proportional to 63,946 and 149,357

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Solution

The third proportional to 63,946 and 149,357 is: 348,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,946 : 149,357 = 149,357 : x
  2. Step 2: Convert to fraction form
    63,946/149,357 = 149,357/x
  3. Step 3: Cross multiply
    63,946x = 149,357 × 149,357
  4. Step 4: Simplify right side
    63,946x = 22,307,513,449
  5. Step 5: Solve for x
    x = 22,307,513,449/63,946
  6. Step 6: Final answer
    x = 348,849.24

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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.