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Finding the Third Proportional to 108,850 and 168,127

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Solution

The third proportional to 108,850 and 168,127 is: 259,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,850 : 168,127 = 168,127 : x
  2. Step 2: Convert to fraction form
    108,850/168,127 = 168,127/x
  3. Step 3: Cross multiply
    108,850x = 168,127 × 168,127
  4. Step 4: Simplify right side
    108,850x = 28,266,688,129
  5. Step 5: Solve for x
    x = 28,266,688,129/108,850
  6. Step 6: Final answer
    x = 259,684.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.