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Finding the Third Proportional to 120,463 and 158,445

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Solution

The third proportional to 120,463 and 158,445 is: 208,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,463 : 158,445 = 158,445 : x
  2. Step 2: Convert to fraction form
    120,463/158,445 = 158,445/x
  3. Step 3: Cross multiply
    120,463x = 158,445 × 158,445
  4. Step 4: Simplify right side
    120,463x = 25,104,818,025
  5. Step 5: Solve for x
    x = 25,104,818,025/120,463
  6. Step 6: Final answer
    x = 208,402.73

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.