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Finding the Third Proportional to 101,036 and 158,502

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Solution

The third proportional to 101,036 and 158,502 is: 248,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,036 : 158,502 = 158,502 : x
  2. Step 2: Convert to fraction form
    101,036/158,502 = 158,502/x
  3. Step 3: Cross multiply
    101,036x = 158,502 × 158,502
  4. Step 4: Simplify right side
    101,036x = 25,122,884,004
  5. Step 5: Solve for x
    x = 25,122,884,004/101,036
  6. Step 6: Final answer
    x = 248,652.80

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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.