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Finding the Third Proportional to 101,651 and 157,085

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Solution

The third proportional to 101,651 and 157,085 is: 242,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,651 : 157,085 = 157,085 : x
  2. Step 2: Convert to fraction form
    101,651/157,085 = 157,085/x
  3. Step 3: Cross multiply
    101,651x = 157,085 × 157,085
  4. Step 4: Simplify right side
    101,651x = 24,675,697,225
  5. Step 5: Solve for x
    x = 24,675,697,225/101,651
  6. Step 6: Final answer
    x = 242,749.18

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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.