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Finding the Third Proportional to 70,946 and 106,223.75

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Solution

The third proportional to 70,946 and 106,223.75 is: 159,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,946 : 106,223.75 = 106,223.75 : x
  2. Step 2: Convert to fraction form
    70,946/106,223.75 = 106,223.75/x
  3. Step 3: Cross multiply
    70,946x = 106,223.75 × 106,223.75
  4. Step 4: Simplify right side
    70,946x = 11,283,485,064.06
  5. Step 5: Solve for x
    x = 11,283,485,064.06/70,946
  6. Step 6: Final answer
    x = 159,043.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.