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Finding the Third Proportional to 44,559 and 98,046

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Solution

The third proportional to 44,559 and 98,046 is: 215,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,559 : 98,046 = 98,046 : x
  2. Step 2: Convert to fraction form
    44,559/98,046 = 98,046/x
  3. Step 3: Cross multiply
    44,559x = 98,046 × 98,046
  4. Step 4: Simplify right side
    44,559x = 9,613,018,116
  5. Step 5: Solve for x
    x = 9,613,018,116/44,559
  6. Step 6: Final answer
    x = 215,736.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.