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Finding the Third Proportional to 45,254 and 99,429

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Solution

The third proportional to 45,254 and 99,429 is: 218,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,254 : 99,429 = 99,429 : x
  2. Step 2: Convert to fraction form
    45,254/99,429 = 99,429/x
  3. Step 3: Cross multiply
    45,254x = 99,429 × 99,429
  4. Step 4: Simplify right side
    45,254x = 9,886,126,041
  5. Step 5: Solve for x
    x = 9,886,126,041/45,254
  6. Step 6: Final answer
    x = 218,458.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.