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Finding the Third Proportional to 89,215 and 131,358

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Solution

The third proportional to 89,215 and 131,358 is: 193,408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,215 : 131,358 = 131,358 : x
  2. Step 2: Convert to fraction form
    89,215/131,358 = 131,358/x
  3. Step 3: Cross multiply
    89,215x = 131,358 × 131,358
  4. Step 4: Simplify right side
    89,215x = 17,254,924,164
  5. Step 5: Solve for x
    x = 17,254,924,164/89,215
  6. Step 6: Final answer
    x = 193,408.33

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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.