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Finding the Third Proportional to 86,244 and 137,154

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Solution

The third proportional to 86,244 and 137,154 is: 218,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,244 : 137,154 = 137,154 : x
  2. Step 2: Convert to fraction form
    86,244/137,154 = 137,154/x
  3. Step 3: Cross multiply
    86,244x = 137,154 × 137,154
  4. Step 4: Simplify right side
    86,244x = 18,811,219,716
  5. Step 5: Solve for x
    x = 18,811,219,716/86,244
  6. Step 6: Final answer
    x = 218,116.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.