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Finding the Third Proportional to 108,276 and 169,893

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Solution

The third proportional to 108,276 and 169,893 is: 266,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,276 : 169,893 = 169,893 : x
  2. Step 2: Convert to fraction form
    108,276/169,893 = 169,893/x
  3. Step 3: Cross multiply
    108,276x = 169,893 × 169,893
  4. Step 4: Simplify right side
    108,276x = 28,863,631,449
  5. Step 5: Solve for x
    x = 28,863,631,449/108,276
  6. Step 6: Final answer
    x = 266,574.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.