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Finding the Third Proportional to 75,026 and 163,994

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Solution

The third proportional to 75,026 and 163,994 is: 358,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,026 : 163,994 = 163,994 : x
  2. Step 2: Convert to fraction form
    75,026/163,994 = 163,994/x
  3. Step 3: Cross multiply
    75,026x = 163,994 × 163,994
  4. Step 4: Simplify right side
    75,026x = 26,894,032,036
  5. Step 5: Solve for x
    x = 26,894,032,036/75,026
  6. Step 6: Final answer
    x = 358,462.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.