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Finding the Third Proportional to 65,492 and 98,621

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Solution

The third proportional to 65,492 and 98,621 is: 148,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,492 : 98,621 = 98,621 : x
  2. Step 2: Convert to fraction form
    65,492/98,621 = 98,621/x
  3. Step 3: Cross multiply
    65,492x = 98,621 × 98,621
  4. Step 4: Simplify right side
    65,492x = 9,726,101,641
  5. Step 5: Solve for x
    x = 9,726,101,641/65,492
  6. Step 6: Final answer
    x = 148,508.24

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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.