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Finding the Third Proportional to 74,488.75 and 106,408.13

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Solution

The third proportional to 74,488.75 and 106,408.13 is: 152,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,488.75 : 106,408.13 = 106,408.13 : x
  2. Step 2: Convert to fraction form
    74,488.75/106,408.13 = 106,408.13/x
  3. Step 3: Cross multiply
    74,488.75x = 106,408.13 × 106,408.13
  4. Step 4: Simplify right side
    74,488.75x = 11,322,689,066.02
  5. Step 5: Solve for x
    x = 11,322,689,066.02/74,488.75
  6. Step 6: Final answer
    x = 152,005.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.