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Finding the Third Proportional to 75,114 and 115,465.50

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Solution

The third proportional to 75,114 and 115,465.50 is: 177,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,114 : 115,465.50 = 115,465.50 : x
  2. Step 2: Convert to fraction form
    75,114/115,465.50 = 115,465.50/x
  3. Step 3: Cross multiply
    75,114x = 115,465.50 × 115,465.50
  4. Step 4: Simplify right side
    75,114x = 13,332,281,690.25
  5. Step 5: Solve for x
    x = 13,332,281,690.25/75,114
  6. Step 6: Final answer
    x = 177,493.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.