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Finding the Third Proportional to 75,967.50 and 166,252.50

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Solution

The third proportional to 75,967.50 and 166,252.50 is: 363,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,967.50 : 166,252.50 = 166,252.50 : x
  2. Step 2: Convert to fraction form
    75,967.50/166,252.50 = 166,252.50/x
  3. Step 3: Cross multiply
    75,967.50x = 166,252.50 × 166,252.50
  4. Step 4: Simplify right side
    75,967.50x = 27,639,893,756.25
  5. Step 5: Solve for x
    x = 27,639,893,756.25/75,967.50
  6. Step 6: Final answer
    x = 363,838.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.