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Finding the Third Proportional to 63,988 and 149,483

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Solution

The third proportional to 63,988 and 149,483 is: 349,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,988 : 149,483 = 149,483 : x
  2. Step 2: Convert to fraction form
    63,988/149,483 = 149,483/x
  3. Step 3: Cross multiply
    63,988x = 149,483 × 149,483
  4. Step 4: Simplify right side
    63,988x = 22,345,167,289
  5. Step 5: Solve for x
    x = 22,345,167,289/63,988
  6. Step 6: Final answer
    x = 349,208.72

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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.