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Finding the Third Proportional to 71,028 and 106,053

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Solution

The third proportional to 71,028 and 106,053 is: 158,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,028 : 106,053 = 106,053 : x
  2. Step 2: Convert to fraction form
    71,028/106,053 = 106,053/x
  3. Step 3: Cross multiply
    71,028x = 106,053 × 106,053
  4. Step 4: Simplify right side
    71,028x = 11,247,238,809
  5. Step 5: Solve for x
    x = 11,247,238,809/71,028
  6. Step 6: Final answer
    x = 158,349.37

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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.