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Finding the Third Proportional to 104,525 and 157,023

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Solution

The third proportional to 104,525 and 157,023 is: 235,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,525 : 157,023 = 157,023 : x
  2. Step 2: Convert to fraction form
    104,525/157,023 = 157,023/x
  3. Step 3: Cross multiply
    104,525x = 157,023 × 157,023
  4. Step 4: Simplify right side
    104,525x = 24,656,222,529
  5. Step 5: Solve for x
    x = 24,656,222,529/104,525
  6. Step 6: Final answer
    x = 235,888.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.