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Finding the Third Proportional to 76,363 and 163,669

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Solution

The third proportional to 76,363 and 163,669 is: 350,792.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,363 : 163,669 = 163,669 : x
  2. Step 2: Convert to fraction form
    76,363/163,669 = 163,669/x
  3. Step 3: Cross multiply
    76,363x = 163,669 × 163,669
  4. Step 4: Simplify right side
    76,363x = 26,787,541,561
  5. Step 5: Solve for x
    x = 26,787,541,561/76,363
  6. Step 6: Final answer
    x = 350,792.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.