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Finding the Third Proportional to 74,152.25 and 174,968.88

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Solution

The third proportional to 74,152.25 and 174,968.88 is: 412,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,152.25 : 174,968.88 = 174,968.88 : x
  2. Step 2: Convert to fraction form
    74,152.25/174,968.88 = 174,968.88/x
  3. Step 3: Cross multiply
    74,152.25x = 174,968.88 × 174,968.88
  4. Step 4: Simplify right side
    74,152.25x = 30,614,107,218.77
  5. Step 5: Solve for x
    x = 30,614,107,218.77/74,152.25
  6. Step 6: Final answer
    x = 412,854.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.