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Finding the Third Proportional to 108,498 and 164,276

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Solution

The third proportional to 108,498 and 164,276 is: 248,729.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,498 : 164,276 = 164,276 : x
  2. Step 2: Convert to fraction form
    108,498/164,276 = 164,276/x
  3. Step 3: Cross multiply
    108,498x = 164,276 × 164,276
  4. Step 4: Simplify right side
    108,498x = 26,986,604,176
  5. Step 5: Solve for x
    x = 26,986,604,176/108,498
  6. Step 6: Final answer
    x = 248,729.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.