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Finding the Third Proportional to 65,625 and 98,502

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Solution

The third proportional to 65,625 and 98,502 is: 147,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,625 : 98,502 = 98,502 : x
  2. Step 2: Convert to fraction form
    65,625/98,502 = 98,502/x
  3. Step 3: Cross multiply
    65,625x = 98,502 × 98,502
  4. Step 4: Simplify right side
    65,625x = 9,702,644,004
  5. Step 5: Solve for x
    x = 9,702,644,004/65,625
  6. Step 6: Final answer
    x = 147,849.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.