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Finding the Third Proportional to 101,045 and 154,637

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Solution

The third proportional to 101,045 and 154,637 is: 236,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,045 : 154,637 = 154,637 : x
  2. Step 2: Convert to fraction form
    101,045/154,637 = 154,637/x
  3. Step 3: Cross multiply
    101,045x = 154,637 × 154,637
  4. Step 4: Simplify right side
    101,045x = 23,912,601,769
  5. Step 5: Solve for x
    x = 23,912,601,769/101,045
  6. Step 6: Final answer
    x = 236,652.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.