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Finding the Third Proportional to 101,762 and 148,023

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Solution

The third proportional to 101,762 and 148,023 is: 215,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,762 : 148,023 = 148,023 : x
  2. Step 2: Convert to fraction form
    101,762/148,023 = 148,023/x
  3. Step 3: Cross multiply
    101,762x = 148,023 × 148,023
  4. Step 4: Simplify right side
    101,762x = 21,910,808,529
  5. Step 5: Solve for x
    x = 21,910,808,529/101,762
  6. Step 6: Final answer
    x = 215,314.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.