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Finding the Third Proportional to 45,624 and 100,130

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Solution

The third proportional to 45,624 and 100,130 is: 219,753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,624 : 100,130 = 100,130 : x
  2. Step 2: Convert to fraction form
    45,624/100,130 = 100,130/x
  3. Step 3: Cross multiply
    45,624x = 100,130 × 100,130
  4. Step 4: Simplify right side
    45,624x = 10,026,016,900
  5. Step 5: Solve for x
    x = 10,026,016,900/45,624
  6. Step 6: Final answer
    x = 219,753.13

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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.