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Finding the Third Proportional to 101,520 and 149,337

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Solution

The third proportional to 101,520 and 149,337 is: 219,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,520 : 149,337 = 149,337 : x
  2. Step 2: Convert to fraction form
    101,520/149,337 = 149,337/x
  3. Step 3: Cross multiply
    101,520x = 149,337 × 149,337
  4. Step 4: Simplify right side
    101,520x = 22,301,539,569
  5. Step 5: Solve for x
    x = 22,301,539,569/101,520
  6. Step 6: Final answer
    x = 219,676.32

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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.