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Finding the Third Proportional to 70,111 and 101,966

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Solution

The third proportional to 70,111 and 101,966 is: 148,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,111 : 101,966 = 101,966 : x
  2. Step 2: Convert to fraction form
    70,111/101,966 = 101,966/x
  3. Step 3: Cross multiply
    70,111x = 101,966 × 101,966
  4. Step 4: Simplify right side
    70,111x = 10,397,065,156
  5. Step 5: Solve for x
    x = 10,397,065,156/70,111
  6. Step 6: Final answer
    x = 148,294.35

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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.