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Finding the Third Proportional to 99,895 and 140,521

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Solution

The third proportional to 99,895 and 140,521 is: 197,669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,895 : 140,521 = 140,521 : x
  2. Step 2: Convert to fraction form
    99,895/140,521 = 140,521/x
  3. Step 3: Cross multiply
    99,895x = 140,521 × 140,521
  4. Step 4: Simplify right side
    99,895x = 19,746,151,441
  5. Step 5: Solve for x
    x = 19,746,151,441/99,895
  6. Step 6: Final answer
    x = 197,669.07

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.