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Finding the Third Proportional to 101,553 and 158,114

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Solution

The third proportional to 101,553 and 158,114 is: 246,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,553 : 158,114 = 158,114 : x
  2. Step 2: Convert to fraction form
    101,553/158,114 = 158,114/x
  3. Step 3: Cross multiply
    101,553x = 158,114 × 158,114
  4. Step 4: Simplify right side
    101,553x = 25,000,036,996
  5. Step 5: Solve for x
    x = 25,000,036,996/101,553
  6. Step 6: Final answer
    x = 246,177.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.