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Finding the Third Proportional to 68,032 and 147,740

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Solution

The third proportional to 68,032 and 147,740 is: 320,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,032 : 147,740 = 147,740 : x
  2. Step 2: Convert to fraction form
    68,032/147,740 = 147,740/x
  3. Step 3: Cross multiply
    68,032x = 147,740 × 147,740
  4. Step 4: Simplify right side
    68,032x = 21,827,107,600
  5. Step 5: Solve for x
    x = 21,827,107,600/68,032
  6. Step 6: Final answer
    x = 320,835.89

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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.