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Finding the Third Proportional to 107,271 and 160,339.50

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Solution

The third proportional to 107,271 and 160,339.50 is: 239,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,271 : 160,339.50 = 160,339.50 : x
  2. Step 2: Convert to fraction form
    107,271/160,339.50 = 160,339.50/x
  3. Step 3: Cross multiply
    107,271x = 160,339.50 × 160,339.50
  4. Step 4: Simplify right side
    107,271x = 25,708,755,260.25
  5. Step 5: Solve for x
    x = 25,708,755,260.25/107,271
  6. Step 6: Final answer
    x = 239,661.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.