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Finding the Third Proportional to 109,237.50 and 146,724

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Solution

The third proportional to 109,237.50 and 146,724 is: 197,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,237.50 : 146,724 = 146,724 : x
  2. Step 2: Convert to fraction form
    109,237.50/146,724 = 146,724/x
  3. Step 3: Cross multiply
    109,237.50x = 146,724 × 146,724
  4. Step 4: Simplify right side
    109,237.50x = 21,527,932,176
  5. Step 5: Solve for x
    x = 21,527,932,176/109,237.50
  6. Step 6: Final answer
    x = 197,074.56

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.