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Finding the Third Proportional to 70,179 and 101,583

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Solution

The third proportional to 70,179 and 101,583 is: 147,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,179 : 101,583 = 101,583 : x
  2. Step 2: Convert to fraction form
    70,179/101,583 = 101,583/x
  3. Step 3: Cross multiply
    70,179x = 101,583 × 101,583
  4. Step 4: Simplify right side
    70,179x = 10,319,105,889
  5. Step 5: Solve for x
    x = 10,319,105,889/70,179
  6. Step 6: Final answer
    x = 147,039.80

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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.