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Finding the Third Proportional to 71,343 and 109,698.75

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Solution

The third proportional to 71,343 and 109,698.75 is: 168,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,343 : 109,698.75 = 109,698.75 : x
  2. Step 2: Convert to fraction form
    71,343/109,698.75 = 109,698.75/x
  3. Step 3: Cross multiply
    71,343x = 109,698.75 × 109,698.75
  4. Step 4: Simplify right side
    71,343x = 12,033,815,751.56
  5. Step 5: Solve for x
    x = 12,033,815,751.56/71,343
  6. Step 6: Final answer
    x = 168,675.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.