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Finding the Third Proportional to 108,184 and 158,090

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Solution

The third proportional to 108,184 and 158,090 is: 231,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,184 : 158,090 = 158,090 : x
  2. Step 2: Convert to fraction form
    108,184/158,090 = 158,090/x
  3. Step 3: Cross multiply
    108,184x = 158,090 × 158,090
  4. Step 4: Simplify right side
    108,184x = 24,992,448,100
  5. Step 5: Solve for x
    x = 24,992,448,100/108,184
  6. Step 6: Final answer
    x = 231,017.97

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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.