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Finding the Third Proportional to 101,664 and 157,277

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Solution

The third proportional to 101,664 and 157,277 is: 243,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,664 : 157,277 = 157,277 : x
  2. Step 2: Convert to fraction form
    101,664/157,277 = 157,277/x
  3. Step 3: Cross multiply
    101,664x = 157,277 × 157,277
  4. Step 4: Simplify right side
    101,664x = 24,736,054,729
  5. Step 5: Solve for x
    x = 24,736,054,729/101,664
  6. Step 6: Final answer
    x = 243,311.84

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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.