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Finding the Third Proportional to 124,762 and 191,771

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Solution

The third proportional to 124,762 and 191,771 is: 294,770.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,762 : 191,771 = 191,771 : x
  2. Step 2: Convert to fraction form
    124,762/191,771 = 191,771/x
  3. Step 3: Cross multiply
    124,762x = 191,771 × 191,771
  4. Step 4: Simplify right side
    124,762x = 36,776,116,441
  5. Step 5: Solve for x
    x = 36,776,116,441/124,762
  6. Step 6: Final answer
    x = 294,770.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.