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Finding the Third Proportional to 108,745 and 168,076

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Solution

The third proportional to 108,745 and 168,076 is: 259,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,745 : 168,076 = 168,076 : x
  2. Step 2: Convert to fraction form
    108,745/168,076 = 168,076/x
  3. Step 3: Cross multiply
    108,745x = 168,076 × 168,076
  4. Step 4: Simplify right side
    108,745x = 28,249,541,776
  5. Step 5: Solve for x
    x = 28,249,541,776/108,745
  6. Step 6: Final answer
    x = 259,777.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.