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Finding the Third Proportional to 101,106 and 156,989

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Solution

The third proportional to 101,106 and 156,989 is: 243,759.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,106 : 156,989 = 156,989 : x
  2. Step 2: Convert to fraction form
    101,106/156,989 = 156,989/x
  3. Step 3: Cross multiply
    101,106x = 156,989 × 156,989
  4. Step 4: Simplify right side
    101,106x = 24,645,546,121
  5. Step 5: Solve for x
    x = 24,645,546,121/101,106
  6. Step 6: Final answer
    x = 243,759.48

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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.