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Finding the Third Proportional to 110,740.61 and 166,076.74

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Solution

The third proportional to 110,740.61 and 166,076.74 is: 249,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,740.61 : 166,076.74 = 166,076.74 : x
  2. Step 2: Convert to fraction form
    110,740.61/166,076.74 = 166,076.74/x
  3. Step 3: Cross multiply
    110,740.61x = 166,076.74 × 166,076.74
  4. Step 4: Simplify right side
    110,740.61x = 27,581,482,349.40
  5. Step 5: Solve for x
    x = 27,581,482,349.40/110,740.61
  6. Step 6: Final answer
    x = 249,063.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.