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Finding the Third Proportional to 70,173 and 101,574

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Solution

The third proportional to 70,173 and 101,574 is: 147,026.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,173 : 101,574 = 101,574 : x
  2. Step 2: Convert to fraction form
    70,173/101,574 = 101,574/x
  3. Step 3: Cross multiply
    70,173x = 101,574 × 101,574
  4. Step 4: Simplify right side
    70,173x = 10,317,277,476
  5. Step 5: Solve for x
    x = 10,317,277,476/70,173
  6. Step 6: Final answer
    x = 147,026.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.