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Finding the Third Proportional to 50,746 and 70,946

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Solution

The third proportional to 50,746 and 70,946 is: 99,186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,746 : 70,946 = 70,946 : x
  2. Step 2: Convert to fraction form
    50,746/70,946 = 70,946/x
  3. Step 3: Cross multiply
    50,746x = 70,946 × 70,946
  4. Step 4: Simplify right side
    50,746x = 5,033,334,916
  5. Step 5: Solve for x
    x = 5,033,334,916/50,746
  6. Step 6: Final answer
    x = 99,186.83

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.