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Finding the Third Proportional to 108,306 and 158,235

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Solution

The third proportional to 108,306 and 158,235 is: 231,181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,306 : 158,235 = 158,235 : x
  2. Step 2: Convert to fraction form
    108,306/158,235 = 158,235/x
  3. Step 3: Cross multiply
    108,306x = 158,235 × 158,235
  4. Step 4: Simplify right side
    108,306x = 25,038,315,225
  5. Step 5: Solve for x
    x = 25,038,315,225/108,306
  6. Step 6: Final answer
    x = 231,181.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.