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Finding the Third Proportional to 97,398 and 146,097

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Solution

The third proportional to 97,398 and 146,097 is: 219,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,398 : 146,097 = 146,097 : x
  2. Step 2: Convert to fraction form
    97,398/146,097 = 146,097/x
  3. Step 3: Cross multiply
    97,398x = 146,097 × 146,097
  4. Step 4: Simplify right side
    97,398x = 21,344,333,409
  5. Step 5: Solve for x
    x = 21,344,333,409/97,398
  6. Step 6: Final answer
    x = 219,145.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.