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Finding the Third Proportional to 109,717 and 160,417.50

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Solution

The third proportional to 109,717 and 160,417.50 is: 234,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,717 : 160,417.50 = 160,417.50 : x
  2. Step 2: Convert to fraction form
    109,717/160,417.50 = 160,417.50/x
  3. Step 3: Cross multiply
    109,717x = 160,417.50 × 160,417.50
  4. Step 4: Simplify right side
    109,717x = 25,733,774,306.25
  5. Step 5: Solve for x
    x = 25,733,774,306.25/109,717
  6. Step 6: Final answer
    x = 234,546.83

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.