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Finding the Third Proportional to 45,646 and 98,581

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Solution

The third proportional to 45,646 and 98,581 is: 212,903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,646 : 98,581 = 98,581 : x
  2. Step 2: Convert to fraction form
    45,646/98,581 = 98,581/x
  3. Step 3: Cross multiply
    45,646x = 98,581 × 98,581
  4. Step 4: Simplify right side
    45,646x = 9,718,213,561
  5. Step 5: Solve for x
    x = 9,718,213,561/45,646
  6. Step 6: Final answer
    x = 212,903.95

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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.