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Finding the Third Proportional to 45,984 and 100,581

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Solution

The third proportional to 45,984 and 100,581 is: 220,001.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,984 : 100,581 = 100,581 : x
  2. Step 2: Convert to fraction form
    45,984/100,581 = 100,581/x
  3. Step 3: Cross multiply
    45,984x = 100,581 × 100,581
  4. Step 4: Simplify right side
    45,984x = 10,116,537,561
  5. Step 5: Solve for x
    x = 10,116,537,561/45,984
  6. Step 6: Final answer
    x = 220,001.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.