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Finding the Third Proportional to 97,032 and 133,615

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Solution

The third proportional to 97,032 and 133,615 is: 183,990.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,032 : 133,615 = 133,615 : x
  2. Step 2: Convert to fraction form
    97,032/133,615 = 133,615/x
  3. Step 3: Cross multiply
    97,032x = 133,615 × 133,615
  4. Step 4: Simplify right side
    97,032x = 17,852,968,225
  5. Step 5: Solve for x
    x = 17,852,968,225/97,032
  6. Step 6: Final answer
    x = 183,990.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.