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Finding the Third Proportional to 70,052 and 151,178

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Solution

The third proportional to 70,052 and 151,178 is: 326,254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,052 : 151,178 = 151,178 : x
  2. Step 2: Convert to fraction form
    70,052/151,178 = 151,178/x
  3. Step 3: Cross multiply
    70,052x = 151,178 × 151,178
  4. Step 4: Simplify right side
    70,052x = 22,854,787,684
  5. Step 5: Solve for x
    x = 22,854,787,684/70,052
  6. Step 6: Final answer
    x = 326,254.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.