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Finding the Third Proportional to 65,887 and 98,650

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Solution

The third proportional to 65,887 and 98,650 is: 147,704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,887 : 98,650 = 98,650 : x
  2. Step 2: Convert to fraction form
    65,887/98,650 = 98,650/x
  3. Step 3: Cross multiply
    65,887x = 98,650 × 98,650
  4. Step 4: Simplify right side
    65,887x = 9,731,822,500
  5. Step 5: Solve for x
    x = 9,731,822,500/65,887
  6. Step 6: Final answer
    x = 147,704.74

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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.