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Finding the Third Proportional to 65,774 and 98,273

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Solution

The third proportional to 65,774 and 98,273 is: 146,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,774 : 98,273 = 98,273 : x
  2. Step 2: Convert to fraction form
    65,774/98,273 = 98,273/x
  3. Step 3: Cross multiply
    65,774x = 98,273 × 98,273
  4. Step 4: Simplify right side
    65,774x = 9,657,582,529
  5. Step 5: Solve for x
    x = 9,657,582,529/65,774
  6. Step 6: Final answer
    x = 146,829.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.