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Finding the Third Proportional to 99,018 and 131,989

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Solution

The third proportional to 99,018 and 131,989 is: 175,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,018 : 131,989 = 131,989 : x
  2. Step 2: Convert to fraction form
    99,018/131,989 = 131,989/x
  3. Step 3: Cross multiply
    99,018x = 131,989 × 131,989
  4. Step 4: Simplify right side
    99,018x = 17,421,096,121
  5. Step 5: Solve for x
    x = 17,421,096,121/99,018
  6. Step 6: Final answer
    x = 175,938.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.