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Finding the Third Proportional to 67,306 and 105,597.50

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Solution

The third proportional to 67,306 and 105,597.50 is: 165,673.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,306 : 105,597.50 = 105,597.50 : x
  2. Step 2: Convert to fraction form
    67,306/105,597.50 = 105,597.50/x
  3. Step 3: Cross multiply
    67,306x = 105,597.50 × 105,597.50
  4. Step 4: Simplify right side
    67,306x = 11,150,832,006.25
  5. Step 5: Solve for x
    x = 11,150,832,006.25/67,306
  6. Step 6: Final answer
    x = 165,673.67

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.