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Finding the Third Proportional to 97,214 and 150,130

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Solution

The third proportional to 97,214 and 150,130 is: 231,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,214 : 150,130 = 150,130 : x
  2. Step 2: Convert to fraction form
    97,214/150,130 = 150,130/x
  3. Step 3: Cross multiply
    97,214x = 150,130 × 150,130
  4. Step 4: Simplify right side
    97,214x = 22,539,016,900
  5. Step 5: Solve for x
    x = 22,539,016,900/97,214
  6. Step 6: Final answer
    x = 231,849.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.