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Finding the Third Proportional to 75,340.13 and 113,774.63

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Solution

The third proportional to 75,340.13 and 113,774.63 is: 171,816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,340.13 : 113,774.63 = 113,774.63 : x
  2. Step 2: Convert to fraction form
    75,340.13/113,774.63 = 113,774.63/x
  3. Step 3: Cross multiply
    75,340.13x = 113,774.63 × 113,774.63
  4. Step 4: Simplify right side
    75,340.13x = 12,944,665,293.89
  5. Step 5: Solve for x
    x = 12,944,665,293.89/75,340.13
  6. Step 6: Final answer
    x = 171,816.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.