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Finding the Third Proportional to 105,385 and 158,081

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Solution

The third proportional to 105,385 and 158,081 is: 237,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,385 : 158,081 = 158,081 : x
  2. Step 2: Convert to fraction form
    105,385/158,081 = 158,081/x
  3. Step 3: Cross multiply
    105,385x = 158,081 × 158,081
  4. Step 4: Simplify right side
    105,385x = 24,989,602,561
  5. Step 5: Solve for x
    x = 24,989,602,561/105,385
  6. Step 6: Final answer
    x = 237,126.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.