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Finding the Third Proportional to 101,076 and 158,084

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Solution

The third proportional to 101,076 and 158,084 is: 247,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,076 : 158,084 = 158,084 : x
  2. Step 2: Convert to fraction form
    101,076/158,084 = 158,084/x
  3. Step 3: Cross multiply
    101,076x = 158,084 × 158,084
  4. Step 4: Simplify right side
    101,076x = 24,990,551,056
  5. Step 5: Solve for x
    x = 24,990,551,056/101,076
  6. Step 6: Final answer
    x = 247,245.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.