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Finding the Third Proportional to 77,737 and 164,814

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Solution

The third proportional to 77,737 and 164,814 is: 349,430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,737 : 164,814 = 164,814 : x
  2. Step 2: Convert to fraction form
    77,737/164,814 = 164,814/x
  3. Step 3: Cross multiply
    77,737x = 164,814 × 164,814
  4. Step 4: Simplify right side
    77,737x = 27,163,654,596
  5. Step 5: Solve for x
    x = 27,163,654,596/77,737
  6. Step 6: Final answer
    x = 349,430.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.