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Finding the Third Proportional to 89,178 and 134,523

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Solution

The third proportional to 89,178 and 134,523 is: 202,924.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,178 : 134,523 = 134,523 : x
  2. Step 2: Convert to fraction form
    89,178/134,523 = 134,523/x
  3. Step 3: Cross multiply
    89,178x = 134,523 × 134,523
  4. Step 4: Simplify right side
    89,178x = 18,096,437,529
  5. Step 5: Solve for x
    x = 18,096,437,529/89,178
  6. Step 6: Final answer
    x = 202,924.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.