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Finding the Third Proportional to 45,282 and 98,343

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Solution

The third proportional to 45,282 and 98,343 is: 213,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,282 : 98,343 = 98,343 : x
  2. Step 2: Convert to fraction form
    45,282/98,343 = 98,343/x
  3. Step 3: Cross multiply
    45,282x = 98,343 × 98,343
  4. Step 4: Simplify right side
    45,282x = 9,671,345,649
  5. Step 5: Solve for x
    x = 9,671,345,649/45,282
  6. Step 6: Final answer
    x = 213,580.36

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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.