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Finding the Third Proportional to 124,738 and 191,719.50

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Solution

The third proportional to 124,738 and 191,719.50 is: 294,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,738 : 191,719.50 = 191,719.50 : x
  2. Step 2: Convert to fraction form
    124,738/191,719.50 = 191,719.50/x
  3. Step 3: Cross multiply
    124,738x = 191,719.50 × 191,719.50
  4. Step 4: Simplify right side
    124,738x = 36,756,366,680.25
  5. Step 5: Solve for x
    x = 36,756,366,680.25/124,738
  6. Step 6: Final answer
    x = 294,668.56

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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.