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Finding the Third Proportional to 101,452 and 157,704

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Solution

The third proportional to 101,452 and 157,704 is: 245,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,452 : 157,704 = 157,704 : x
  2. Step 2: Convert to fraction form
    101,452/157,704 = 157,704/x
  3. Step 3: Cross multiply
    101,452x = 157,704 × 157,704
  4. Step 4: Simplify right side
    101,452x = 24,870,551,616
  5. Step 5: Solve for x
    x = 24,870,551,616/101,452
  6. Step 6: Final answer
    x = 245,146.00

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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.