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Finding the Third Proportional to 68,630 and 109,594

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Solution

The third proportional to 68,630 and 109,594 is: 175,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,630 : 109,594 = 109,594 : x
  2. Step 2: Convert to fraction form
    68,630/109,594 = 109,594/x
  3. Step 3: Cross multiply
    68,630x = 109,594 × 109,594
  4. Step 4: Simplify right side
    68,630x = 12,010,844,836
  5. Step 5: Solve for x
    x = 12,010,844,836/68,630
  6. Step 6: Final answer
    x = 175,008.67

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.