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Finding the Third Proportional to 100,908 and 137,106

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Solution

The third proportional to 100,908 and 137,106 is: 186,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,908 : 137,106 = 137,106 : x
  2. Step 2: Convert to fraction form
    100,908/137,106 = 137,106/x
  3. Step 3: Cross multiply
    100,908x = 137,106 × 137,106
  4. Step 4: Simplify right side
    100,908x = 18,798,055,236
  5. Step 5: Solve for x
    x = 18,798,055,236/100,908
  6. Step 6: Final answer
    x = 186,289.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.