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Finding the Third Proportional to 67,605 and 105,228

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Solution

The third proportional to 67,605 and 105,228 is: 163,788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,605 : 105,228 = 105,228 : x
  2. Step 2: Convert to fraction form
    67,605/105,228 = 105,228/x
  3. Step 3: Cross multiply
    67,605x = 105,228 × 105,228
  4. Step 4: Simplify right side
    67,605x = 11,072,931,984
  5. Step 5: Solve for x
    x = 11,072,931,984/67,605
  6. Step 6: Final answer
    x = 163,788.65

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.