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Finding the Third Proportional to 89,358 and 131,300

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Solution

The third proportional to 89,358 and 131,300 is: 192,928.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,358 : 131,300 = 131,300 : x
  2. Step 2: Convert to fraction form
    89,358/131,300 = 131,300/x
  3. Step 3: Cross multiply
    89,358x = 131,300 × 131,300
  4. Step 4: Simplify right side
    89,358x = 17,239,690,000
  5. Step 5: Solve for x
    x = 17,239,690,000/89,358
  6. Step 6: Final answer
    x = 192,928.33

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.