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Finding the Third Proportional to 45,170 and 70,342

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Solution

The third proportional to 45,170 and 70,342 is: 109,541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,170 : 70,342 = 70,342 : x
  2. Step 2: Convert to fraction form
    45,170/70,342 = 70,342/x
  3. Step 3: Cross multiply
    45,170x = 70,342 × 70,342
  4. Step 4: Simplify right side
    45,170x = 4,947,996,964
  5. Step 5: Solve for x
    x = 4,947,996,964/45,170
  6. Step 6: Final answer
    x = 109,541.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.