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Finding the Third Proportional to 50,612 and 70,178

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Solution

The third proportional to 50,612 and 70,178 is: 97,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,612 : 70,178 = 70,178 : x
  2. Step 2: Convert to fraction form
    50,612/70,178 = 70,178/x
  3. Step 3: Cross multiply
    50,612x = 70,178 × 70,178
  4. Step 4: Simplify right side
    50,612x = 4,924,951,684
  5. Step 5: Solve for x
    x = 4,924,951,684/50,612
  6. Step 6: Final answer
    x = 97,307.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.