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Finding the Third Proportional to 84 and 114.50

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Solution

The third proportional to 84 and 114.50 is: 156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84 : 114.50 = 114.50 : x
  2. Step 2: Convert to fraction form
    84/114.50 = 114.50/x
  3. Step 3: Cross multiply
    84x = 114.50 × 114.50
  4. Step 4: Simplify right side
    84x = 13,110.25
  5. Step 5: Solve for x
    x = 13,110.25/84
  6. Step 6: Final answer
    x = 156.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.