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Finding the Third Proportional to 64,479 and 98,627

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Solution

The third proportional to 64,479 and 98,627 is: 150,859.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,479 : 98,627 = 98,627 : x
  2. Step 2: Convert to fraction form
    64,479/98,627 = 98,627/x
  3. Step 3: Cross multiply
    64,479x = 98,627 × 98,627
  4. Step 4: Simplify right side
    64,479x = 9,727,285,129
  5. Step 5: Solve for x
    x = 9,727,285,129/64,479
  6. Step 6: Final answer
    x = 150,859.74

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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.