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Finding the Third Proportional to 65,808 and 98,748

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Solution

The third proportional to 65,808 and 98,748 is: 148,176.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,808 : 98,748 = 98,748 : x
  2. Step 2: Convert to fraction form
    65,808/98,748 = 98,748/x
  3. Step 3: Cross multiply
    65,808x = 98,748 × 98,748
  4. Step 4: Simplify right side
    65,808x = 9,751,167,504
  5. Step 5: Solve for x
    x = 9,751,167,504/65,808
  6. Step 6: Final answer
    x = 148,176.02

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