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Finding the Third Proportional to 70,901 and 154,681

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Solution

The third proportional to 70,901 and 154,681 is: 337,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,901 : 154,681 = 154,681 : x
  2. Step 2: Convert to fraction form
    70,901/154,681 = 154,681/x
  3. Step 3: Cross multiply
    70,901x = 154,681 × 154,681
  4. Step 4: Simplify right side
    70,901x = 23,926,211,761
  5. Step 5: Solve for x
    x = 23,926,211,761/70,901
  6. Step 6: Final answer
    x = 337,459.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.