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Finding the Third Proportional to 75,370 and 163,863

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Solution

The third proportional to 75,370 and 163,863 is: 356,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,370 : 163,863 = 163,863 : x
  2. Step 2: Convert to fraction form
    75,370/163,863 = 163,863/x
  3. Step 3: Cross multiply
    75,370x = 163,863 × 163,863
  4. Step 4: Simplify right side
    75,370x = 26,851,082,769
  5. Step 5: Solve for x
    x = 26,851,082,769/75,370
  6. Step 6: Final answer
    x = 356,256.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.