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Finding the Third Proportional to 63,884 and 98,058

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Solution

The third proportional to 63,884 and 98,058 is: 150,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,884 : 98,058 = 98,058 : x
  2. Step 2: Convert to fraction form
    63,884/98,058 = 98,058/x
  3. Step 3: Cross multiply
    63,884x = 98,058 × 98,058
  4. Step 4: Simplify right side
    63,884x = 9,615,371,364
  5. Step 5: Solve for x
    x = 9,615,371,364/63,884
  6. Step 6: Final answer
    x = 150,512.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.