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Finding the Third Proportional to 88.75 and 119.91

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Solution

The third proportional to 88.75 and 119.91 is: 162.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.75 : 119.91 = 119.91 : x
  2. Step 2: Convert to fraction form
    88.75/119.91 = 119.91/x
  3. Step 3: Cross multiply
    88.75x = 119.91 × 119.91
  4. Step 4: Simplify right side
    88.75x = 14,377.51
  5. Step 5: Solve for x
    x = 14,377.51/88.75
  6. Step 6: Final answer
    x = 162.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.