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Finding the Third Proportional to 124,331 and 191,216.50

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Solution

The third proportional to 124,331 and 191,216.50 is: 294,083.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,331 : 191,216.50 = 191,216.50 : x
  2. Step 2: Convert to fraction form
    124,331/191,216.50 = 191,216.50/x
  3. Step 3: Cross multiply
    124,331x = 191,216.50 × 191,216.50
  4. Step 4: Simplify right side
    124,331x = 36,563,749,872.25
  5. Step 5: Solve for x
    x = 36,563,749,872.25/124,331
  6. Step 6: Final answer
    x = 294,083.94

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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.