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Finding the Third Proportional to 64,266 and 98,901

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Solution

The third proportional to 64,266 and 98,901 is: 152,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,266 : 98,901 = 98,901 : x
  2. Step 2: Convert to fraction form
    64,266/98,901 = 98,901/x
  3. Step 3: Cross multiply
    64,266x = 98,901 × 98,901
  4. Step 4: Simplify right side
    64,266x = 9,781,407,801
  5. Step 5: Solve for x
    x = 9,781,407,801/64,266
  6. Step 6: Final answer
    x = 152,201.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.