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Finding the Third Proportional to 71,034 and 106,062

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Solution

The third proportional to 71,034 and 106,062 is: 158,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,034 : 106,062 = 106,062 : x
  2. Step 2: Convert to fraction form
    71,034/106,062 = 106,062/x
  3. Step 3: Cross multiply
    71,034x = 106,062 × 106,062
  4. Step 4: Simplify right side
    71,034x = 11,249,147,844
  5. Step 5: Solve for x
    x = 11,249,147,844/71,034
  6. Step 6: Final answer
    x = 158,362.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.