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Finding the Third Proportional to 68,088 and 95,237

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Solution

The third proportional to 68,088 and 95,237 is: 133,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,088 : 95,237 = 95,237 : x
  2. Step 2: Convert to fraction form
    68,088/95,237 = 95,237/x
  3. Step 3: Cross multiply
    68,088x = 95,237 × 95,237
  4. Step 4: Simplify right side
    68,088x = 9,070,086,169
  5. Step 5: Solve for x
    x = 9,070,086,169/68,088
  6. Step 6: Final answer
    x = 133,211.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.