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Finding the Third Proportional to 89,487 and 195,051

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Solution

The third proportional to 89,487 and 195,051 is: 425,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,487 : 195,051 = 195,051 : x
  2. Step 2: Convert to fraction form
    89,487/195,051 = 195,051/x
  3. Step 3: Cross multiply
    89,487x = 195,051 × 195,051
  4. Step 4: Simplify right side
    89,487x = 38,044,892,601
  5. Step 5: Solve for x
    x = 38,044,892,601/89,487
  6. Step 6: Final answer
    x = 425,144.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.