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Finding the Third Proportional to 46,494 and 70,178

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Solution

The third proportional to 46,494 and 70,178 is: 105,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,494 : 70,178 = 70,178 : x
  2. Step 2: Convert to fraction form
    46,494/70,178 = 70,178/x
  3. Step 3: Cross multiply
    46,494x = 70,178 × 70,178
  4. Step 4: Simplify right side
    46,494x = 4,924,951,684
  5. Step 5: Solve for x
    x = 4,924,951,684/46,494
  6. Step 6: Final answer
    x = 105,926.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.