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Finding the Third Proportional to 45,642 and 99,040

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Solution

The third proportional to 45,642 and 99,040 is: 214,909.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,642 : 99,040 = 99,040 : x
  2. Step 2: Convert to fraction form
    45,642/99,040 = 99,040/x
  3. Step 3: Cross multiply
    45,642x = 99,040 × 99,040
  4. Step 4: Simplify right side
    45,642x = 9,808,921,600
  5. Step 5: Solve for x
    x = 9,808,921,600/45,642
  6. Step 6: Final answer
    x = 214,909.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.