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Finding the Third Proportional to 65,503 and 98,798

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Solution

The third proportional to 65,503 and 98,798 is: 149,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,503 : 98,798 = 98,798 : x
  2. Step 2: Convert to fraction form
    65,503/98,798 = 98,798/x
  3. Step 3: Cross multiply
    65,503x = 98,798 × 98,798
  4. Step 4: Simplify right side
    65,503x = 9,761,044,804
  5. Step 5: Solve for x
    x = 9,761,044,804/65,503
  6. Step 6: Final answer
    x = 149,016.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.