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Finding the Third Proportional to 92,302 and 131,989

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Solution

The third proportional to 92,302 and 131,989 is: 188,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,302 : 131,989 = 131,989 : x
  2. Step 2: Convert to fraction form
    92,302/131,989 = 131,989/x
  3. Step 3: Cross multiply
    92,302x = 131,989 × 131,989
  4. Step 4: Simplify right side
    92,302x = 17,421,096,121
  5. Step 5: Solve for x
    x = 17,421,096,121/92,302
  6. Step 6: Final answer
    x = 188,740.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.