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Finding the Third Proportional to 62,818 and 99,178

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Solution

The third proportional to 62,818 and 99,178 is: 156,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,818 : 99,178 = 99,178 : x
  2. Step 2: Convert to fraction form
    62,818/99,178 = 99,178/x
  3. Step 3: Cross multiply
    62,818x = 99,178 × 99,178
  4. Step 4: Simplify right side
    62,818x = 9,836,275,684
  5. Step 5: Solve for x
    x = 9,836,275,684/62,818
  6. Step 6: Final answer
    x = 156,583.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.