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Finding the Third Proportional to 91,848 and 129,999

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Solution

The third proportional to 91,848 and 129,999 is: 183,996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,848 : 129,999 = 129,999 : x
  2. Step 2: Convert to fraction form
    91,848/129,999 = 129,999/x
  3. Step 3: Cross multiply
    91,848x = 129,999 × 129,999
  4. Step 4: Simplify right side
    91,848x = 16,899,740,001
  5. Step 5: Solve for x
    x = 16,899,740,001/91,848
  6. Step 6: Final answer
    x = 183,996.82

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.