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Finding the Third Proportional to 75,826.13 and 114,783.19

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Solution

The third proportional to 75,826.13 and 114,783.19 is: 173,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,826.13 : 114,783.19 = 114,783.19 : x
  2. Step 2: Convert to fraction form
    75,826.13/114,783.19 = 114,783.19/x
  3. Step 3: Cross multiply
    75,826.13x = 114,783.19 × 114,783.19
  4. Step 4: Simplify right side
    75,826.13x = 13,175,180,132.66
  5. Step 5: Solve for x
    x = 13,175,180,132.66/75,826.13
  6. Step 6: Final answer
    x = 173,755.16

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Why These Related Problems?

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