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Finding the Third Proportional to 68,445 and 148,523.63

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Solution

The third proportional to 68,445 and 148,523.63 is: 322,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,445 : 148,523.63 = 148,523.63 : x
  2. Step 2: Convert to fraction form
    68,445/148,523.63 = 148,523.63/x
  3. Step 3: Cross multiply
    68,445x = 148,523.63 × 148,523.63
  4. Step 4: Simplify right side
    68,445x = 22,059,267,183.14
  5. Step 5: Solve for x
    x = 22,059,267,183.14/68,445
  6. Step 6: Final answer
    x = 322,291.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.