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Finding the Third Proportional to 45,320 and 98,426

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Solution

The third proportional to 45,320 and 98,426 is: 213,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,320 : 98,426 = 98,426 : x
  2. Step 2: Convert to fraction form
    45,320/98,426 = 98,426/x
  3. Step 3: Cross multiply
    45,320x = 98,426 × 98,426
  4. Step 4: Simplify right side
    45,320x = 9,687,677,476
  5. Step 5: Solve for x
    x = 9,687,677,476/45,320
  6. Step 6: Final answer
    x = 213,761.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.