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Finding the Third Proportional to 101,024 and 158,478

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Solution

The third proportional to 101,024 and 158,478 is: 248,607.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,024 : 158,478 = 158,478 : x
  2. Step 2: Convert to fraction form
    101,024/158,478 = 158,478/x
  3. Step 3: Cross multiply
    101,024x = 158,478 × 158,478
  4. Step 4: Simplify right side
    101,024x = 25,115,276,484
  5. Step 5: Solve for x
    x = 25,115,276,484/101,024
  6. Step 6: Final answer
    x = 248,607.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.