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Finding the Third Proportional to 65,486 and 98,774

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Solution

The third proportional to 65,486 and 98,774 is: 148,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,486 : 98,774 = 98,774 : x
  2. Step 2: Convert to fraction form
    65,486/98,774 = 98,774/x
  3. Step 3: Cross multiply
    65,486x = 98,774 × 98,774
  4. Step 4: Simplify right side
    65,486x = 9,756,303,076
  5. Step 5: Solve for x
    x = 9,756,303,076/65,486
  6. Step 6: Final answer
    x = 148,983.04

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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.