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Finding the Third Proportional to 96,854 and 148,097

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Solution

The third proportional to 96,854 and 148,097 is: 226,451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,854 : 148,097 = 148,097 : x
  2. Step 2: Convert to fraction form
    96,854/148,097 = 148,097/x
  3. Step 3: Cross multiply
    96,854x = 148,097 × 148,097
  4. Step 4: Simplify right side
    96,854x = 21,932,721,409
  5. Step 5: Solve for x
    x = 21,932,721,409/96,854
  6. Step 6: Final answer
    x = 226,451.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.