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Finding the Third Proportional to 97,874 and 151,235

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Solution

The third proportional to 97,874 and 151,235 is: 233,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,874 : 151,235 = 151,235 : x
  2. Step 2: Convert to fraction form
    97,874/151,235 = 151,235/x
  3. Step 3: Cross multiply
    97,874x = 151,235 × 151,235
  4. Step 4: Simplify right side
    97,874x = 22,872,025,225
  5. Step 5: Solve for x
    x = 22,872,025,225/97,874
  6. Step 6: Final answer
    x = 233,688.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.