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Finding the Third Proportional to 124,742 and 191,726

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Solution

The third proportional to 124,742 and 191,726 is: 294,679.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,742 : 191,726 = 191,726 : x
  2. Step 2: Convert to fraction form
    124,742/191,726 = 191,726/x
  3. Step 3: Cross multiply
    124,742x = 191,726 × 191,726
  4. Step 4: Simplify right side
    124,742x = 36,758,859,076
  5. Step 5: Solve for x
    x = 36,758,859,076/124,742
  6. Step 6: Final answer
    x = 294,679.09

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