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Finding the Third Proportional to 77,213 and 162,526

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Solution

The third proportional to 77,213 and 162,526 is: 342,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,213 : 162,526 = 162,526 : x
  2. Step 2: Convert to fraction form
    77,213/162,526 = 162,526/x
  3. Step 3: Cross multiply
    77,213x = 162,526 × 162,526
  4. Step 4: Simplify right side
    77,213x = 26,414,700,676
  5. Step 5: Solve for x
    x = 26,414,700,676/77,213
  6. Step 6: Final answer
    x = 342,101.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.