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Finding the Third Proportional to 101,023 and 158,475

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Solution

The third proportional to 101,023 and 158,475 is: 248,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,023 : 158,475 = 158,475 : x
  2. Step 2: Convert to fraction form
    101,023/158,475 = 158,475/x
  3. Step 3: Cross multiply
    101,023x = 158,475 × 158,475
  4. Step 4: Simplify right side
    101,023x = 25,114,325,625
  5. Step 5: Solve for x
    x = 25,114,325,625/101,023
  6. Step 6: Final answer
    x = 248,600.08

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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.