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Finding the Third Proportional to 70,298 and 107,534

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Solution

The third proportional to 70,298 and 107,534 is: 164,493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,298 : 107,534 = 107,534 : x
  2. Step 2: Convert to fraction form
    70,298/107,534 = 107,534/x
  3. Step 3: Cross multiply
    70,298x = 107,534 × 107,534
  4. Step 4: Simplify right side
    70,298x = 11,563,561,156
  5. Step 5: Solve for x
    x = 11,563,561,156/70,298
  6. Step 6: Final answer
    x = 164,493.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.