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Finding the Third Proportional to 73,900 and 163,352

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Solution

The third proportional to 73,900 and 163,352 is: 361,080.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,900 : 163,352 = 163,352 : x
  2. Step 2: Convert to fraction form
    73,900/163,352 = 163,352/x
  3. Step 3: Cross multiply
    73,900x = 163,352 × 163,352
  4. Step 4: Simplify right side
    73,900x = 26,683,875,904
  5. Step 5: Solve for x
    x = 26,683,875,904/73,900
  6. Step 6: Final answer
    x = 361,080.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.