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Finding the Third Proportional to 45,408 and 75,040

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Solution

The third proportional to 45,408 and 75,040 is: 124,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,408 : 75,040 = 75,040 : x
  2. Step 2: Convert to fraction form
    45,408/75,040 = 75,040/x
  3. Step 3: Cross multiply
    45,408x = 75,040 × 75,040
  4. Step 4: Simplify right side
    45,408x = 5,631,001,600
  5. Step 5: Solve for x
    x = 5,631,001,600/45,408
  6. Step 6: Final answer
    x = 124,009.02

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.