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Finding the Third Proportional to 45,410 and 99,524

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Solution

The third proportional to 45,410 and 99,524 is: 218,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,410 : 99,524 = 99,524 : x
  2. Step 2: Convert to fraction form
    45,410/99,524 = 99,524/x
  3. Step 3: Cross multiply
    45,410x = 99,524 × 99,524
  4. Step 4: Simplify right side
    45,410x = 9,905,026,576
  5. Step 5: Solve for x
    x = 9,905,026,576/45,410
  6. Step 6: Final answer
    x = 218,124.35

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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.