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Finding the Third Proportional to 65,875 and 98,633

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Solution

The third proportional to 65,875 and 98,633 is: 147,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,875 : 98,633 = 98,633 : x
  2. Step 2: Convert to fraction form
    65,875/98,633 = 98,633/x
  3. Step 3: Cross multiply
    65,875x = 98,633 × 98,633
  4. Step 4: Simplify right side
    65,875x = 9,728,468,689
  5. Step 5: Solve for x
    x = 9,728,468,689/65,875
  6. Step 6: Final answer
    x = 147,680.74

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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.