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Finding the Third Proportional to 70,106 and 111,602

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Solution

The third proportional to 70,106 and 111,602 is: 177,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,106 : 111,602 = 111,602 : x
  2. Step 2: Convert to fraction form
    70,106/111,602 = 111,602/x
  3. Step 3: Cross multiply
    70,106x = 111,602 × 111,602
  4. Step 4: Simplify right side
    70,106x = 12,455,006,404
  5. Step 5: Solve for x
    x = 12,455,006,404/70,106
  6. Step 6: Final answer
    x = 177,659.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.