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Finding the Third Proportional to 45,572 and 99,446

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Solution

The third proportional to 45,572 and 99,446 is: 217,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,572 : 99,446 = 99,446 : x
  2. Step 2: Convert to fraction form
    45,572/99,446 = 99,446/x
  3. Step 3: Cross multiply
    45,572x = 99,446 × 99,446
  4. Step 4: Simplify right side
    45,572x = 9,889,506,916
  5. Step 5: Solve for x
    x = 9,889,506,916/45,572
  6. Step 6: Final answer
    x = 217,008.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.