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Finding the Third Proportional to 49,092 and 106,776

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Solution

The third proportional to 49,092 and 106,776 is: 232,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,092 : 106,776 = 106,776 : x
  2. Step 2: Convert to fraction form
    49,092/106,776 = 106,776/x
  3. Step 3: Cross multiply
    49,092x = 106,776 × 106,776
  4. Step 4: Simplify right side
    49,092x = 11,401,114,176
  5. Step 5: Solve for x
    x = 11,401,114,176/49,092
  6. Step 6: Final answer
    x = 232,239.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.