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Finding the Third Proportional to 75,771 and 118,867.50

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Solution

The third proportional to 75,771 and 118,867.50 is: 186,476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,771 : 118,867.50 = 118,867.50 : x
  2. Step 2: Convert to fraction form
    75,771/118,867.50 = 118,867.50/x
  3. Step 3: Cross multiply
    75,771x = 118,867.50 × 118,867.50
  4. Step 4: Simplify right side
    75,771x = 14,129,482,556.25
  5. Step 5: Solve for x
    x = 14,129,482,556.25/75,771
  6. Step 6: Final answer
    x = 186,476.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.