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Finding the Third Proportional to 75,582 and 164,979

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Solution

The third proportional to 75,582 and 164,979 is: 360,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,582 : 164,979 = 164,979 : x
  2. Step 2: Convert to fraction form
    75,582/164,979 = 164,979/x
  3. Step 3: Cross multiply
    75,582x = 164,979 × 164,979
  4. Step 4: Simplify right side
    75,582x = 27,218,070,441
  5. Step 5: Solve for x
    x = 27,218,070,441/75,582
  6. Step 6: Final answer
    x = 360,113.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.