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Finding the Third Proportional to 68,835 and 145,941

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Solution

The third proportional to 68,835 and 145,941 is: 309,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,835 : 145,941 = 145,941 : x
  2. Step 2: Convert to fraction form
    68,835/145,941 = 145,941/x
  3. Step 3: Cross multiply
    68,835x = 145,941 × 145,941
  4. Step 4: Simplify right side
    68,835x = 21,298,775,481
  5. Step 5: Solve for x
    x = 21,298,775,481/68,835
  6. Step 6: Final answer
    x = 309,417.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.