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Finding the Third Proportional to 101,176 and 157,197

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Solution

The third proportional to 101,176 and 157,197 is: 244,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,176 : 157,197 = 157,197 : x
  2. Step 2: Convert to fraction form
    101,176/157,197 = 157,197/x
  3. Step 3: Cross multiply
    101,176x = 157,197 × 157,197
  4. Step 4: Simplify right side
    101,176x = 24,710,896,809
  5. Step 5: Solve for x
    x = 24,710,896,809/101,176
  6. Step 6: Final answer
    x = 244,236.74

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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.