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Finding the Third Proportional to 75,767.25 and 118,856.25

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Solution

The third proportional to 75,767.25 and 118,856.25 is: 186,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,767.25 : 118,856.25 = 118,856.25 : x
  2. Step 2: Convert to fraction form
    75,767.25/118,856.25 = 118,856.25/x
  3. Step 3: Cross multiply
    75,767.25x = 118,856.25 × 118,856.25
  4. Step 4: Simplify right side
    75,767.25x = 14,126,808,164.06
  5. Step 5: Solve for x
    x = 14,126,808,164.06/75,767.25
  6. Step 6: Final answer
    x = 186,450.06

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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.