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Finding the Third Proportional to 97,210 and 150,124

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Solution

The third proportional to 97,210 and 150,124 is: 231,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,210 : 150,124 = 150,124 : x
  2. Step 2: Convert to fraction form
    97,210/150,124 = 150,124/x
  3. Step 3: Cross multiply
    97,210x = 150,124 × 150,124
  4. Step 4: Simplify right side
    97,210x = 22,537,215,376
  5. Step 5: Solve for x
    x = 22,537,215,376/97,210
  6. Step 6: Final answer
    x = 231,840.50

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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.