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Finding the Third Proportional to 45,768 and 98,559

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Solution

The third proportional to 45,768 and 98,559 is: 212,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,768 : 98,559 = 98,559 : x
  2. Step 2: Convert to fraction form
    45,768/98,559 = 98,559/x
  3. Step 3: Cross multiply
    45,768x = 98,559 × 98,559
  4. Step 4: Simplify right side
    45,768x = 9,713,876,481
  5. Step 5: Solve for x
    x = 9,713,876,481/45,768
  6. Step 6: Final answer
    x = 212,241.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.