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Finding the Third Proportional to 77,924.25 and 168,151.50

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Solution

The third proportional to 77,924.25 and 168,151.50 is: 362,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,924.25 : 168,151.50 = 168,151.50 : x
  2. Step 2: Convert to fraction form
    77,924.25/168,151.50 = 168,151.50/x
  3. Step 3: Cross multiply
    77,924.25x = 168,151.50 × 168,151.50
  4. Step 4: Simplify right side
    77,924.25x = 28,274,926,952.25
  5. Step 5: Solve for x
    x = 28,274,926,952.25/77,924.25
  6. Step 6: Final answer
    x = 362,851.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.