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Finding the Third Proportional to 73,663.17 and 156,985.59

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Solution

The third proportional to 73,663.17 and 156,985.59 is: 334,556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,663.17 : 156,985.59 = 156,985.59 : x
  2. Step 2: Convert to fraction form
    73,663.17/156,985.59 = 156,985.59/x
  3. Step 3: Cross multiply
    73,663.17x = 156,985.59 × 156,985.59
  4. Step 4: Simplify right side
    73,663.17x = 24,644,476,645.04
  5. Step 5: Solve for x
    x = 24,644,476,645.04/73,663.17
  6. Step 6: Final answer
    x = 334,556.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.