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Finding the Third Proportional to 101,004 and 158,448

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Solution

The third proportional to 101,004 and 158,448 is: 248,562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,004 : 158,448 = 158,448 : x
  2. Step 2: Convert to fraction form
    101,004/158,448 = 158,448/x
  3. Step 3: Cross multiply
    101,004x = 158,448 × 158,448
  4. Step 4: Simplify right side
    101,004x = 25,105,768,704
  5. Step 5: Solve for x
    x = 25,105,768,704/101,004
  6. Step 6: Final answer
    x = 248,562.12

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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.