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Finding the Third Proportional to 77,712 and 166,750

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Solution

The third proportional to 77,712 and 166,750 is: 357,802.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712 : 166,750 = 166,750 : x
  2. Step 2: Convert to fraction form
    77,712/166,750 = 166,750/x
  3. Step 3: Cross multiply
    77,712x = 166,750 × 166,750
  4. Step 4: Simplify right side
    77,712x = 27,805,562,500
  5. Step 5: Solve for x
    x = 27,805,562,500/77,712
  6. Step 6: Final answer
    x = 357,802.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.