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Finding the Third Proportional to 67,020 and 103,842

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Solution

The third proportional to 67,020 and 103,842 is: 160,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,020 : 103,842 = 103,842 : x
  2. Step 2: Convert to fraction form
    67,020/103,842 = 103,842/x
  3. Step 3: Cross multiply
    67,020x = 103,842 × 103,842
  4. Step 4: Simplify right side
    67,020x = 10,783,160,964
  5. Step 5: Solve for x
    x = 10,783,160,964/67,020
  6. Step 6: Final answer
    x = 160,894.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.