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Finding the Third Proportional to 97,626 and 146,430

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Solution

The third proportional to 97,626 and 146,430 is: 219,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,626 : 146,430 = 146,430 : x
  2. Step 2: Convert to fraction form
    97,626/146,430 = 146,430/x
  3. Step 3: Cross multiply
    97,626x = 146,430 × 146,430
  4. Step 4: Simplify right side
    97,626x = 21,441,744,900
  5. Step 5: Solve for x
    x = 21,441,744,900/97,626
  6. Step 6: Final answer
    x = 219,631.50

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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.