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Finding the Third Proportional to 137,819.75 and 207,533

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Solution

The third proportional to 137,819.75 and 207,533 is: 312,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,819.75 : 207,533 = 207,533 : x
  2. Step 2: Convert to fraction form
    137,819.75/207,533 = 207,533/x
  3. Step 3: Cross multiply
    137,819.75x = 207,533 × 207,533
  4. Step 4: Simplify right side
    137,819.75x = 43,069,946,089
  5. Step 5: Solve for x
    x = 43,069,946,089/137,819.75
  6. Step 6: Final answer
    x = 312,509.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.