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Finding the Third Proportional to 101,052 and 158,532

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Solution

The third proportional to 101,052 and 158,532 is: 248,707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,052 : 158,532 = 158,532 : x
  2. Step 2: Convert to fraction form
    101,052/158,532 = 158,532/x
  3. Step 3: Cross multiply
    101,052x = 158,532 × 158,532
  4. Step 4: Simplify right side
    101,052x = 25,132,395,024
  5. Step 5: Solve for x
    x = 25,132,395,024/101,052
  6. Step 6: Final answer
    x = 248,707.55

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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.