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Finding the Third Proportional to 75,534 and 162,894

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Solution

The third proportional to 75,534 and 162,894 is: 351,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,534 : 162,894 = 162,894 : x
  2. Step 2: Convert to fraction form
    75,534/162,894 = 162,894/x
  3. Step 3: Cross multiply
    75,534x = 162,894 × 162,894
  4. Step 4: Simplify right side
    75,534x = 26,534,455,236
  5. Step 5: Solve for x
    x = 26,534,455,236/75,534
  6. Step 6: Final answer
    x = 351,291.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.