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Finding the Third Proportional to 99,692 and 148,097

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Solution

The third proportional to 99,692 and 148,097 is: 220,004.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,692 : 148,097 = 148,097 : x
  2. Step 2: Convert to fraction form
    99,692/148,097 = 148,097/x
  3. Step 3: Cross multiply
    99,692x = 148,097 × 148,097
  4. Step 4: Simplify right side
    99,692x = 21,932,721,409
  5. Step 5: Solve for x
    x = 21,932,721,409/99,692
  6. Step 6: Final answer
    x = 220,004.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.