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Finding the Third Proportional to 45,545 and 98,578

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Solution

The third proportional to 45,545 and 98,578 is: 213,363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,545 : 98,578 = 98,578 : x
  2. Step 2: Convert to fraction form
    45,545/98,578 = 98,578/x
  3. Step 3: Cross multiply
    45,545x = 98,578 × 98,578
  4. Step 4: Simplify right side
    45,545x = 9,717,622,084
  5. Step 5: Solve for x
    x = 9,717,622,084/45,545
  6. Step 6: Final answer
    x = 213,363.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.