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Finding the Third Proportional to 101,532 and 149,355

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Solution

The third proportional to 101,532 and 149,355 is: 219,703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,532 : 149,355 = 149,355 : x
  2. Step 2: Convert to fraction form
    101,532/149,355 = 149,355/x
  3. Step 3: Cross multiply
    101,532x = 149,355 × 149,355
  4. Step 4: Simplify right side
    101,532x = 22,306,916,025
  5. Step 5: Solve for x
    x = 22,306,916,025/101,532
  6. Step 6: Final answer
    x = 219,703.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.