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Finding the Third Proportional to 106,674.75 and 156,066.75

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Solution

The third proportional to 106,674.75 and 156,066.75 is: 228,327.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,674.75 : 156,066.75 = 156,066.75 : x
  2. Step 2: Convert to fraction form
    106,674.75/156,066.75 = 156,066.75/x
  3. Step 3: Cross multiply
    106,674.75x = 156,066.75 × 156,066.75
  4. Step 4: Simplify right side
    106,674.75x = 24,356,830,455.56
  5. Step 5: Solve for x
    x = 24,356,830,455.56/106,674.75
  6. Step 6: Final answer
    x = 228,327.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.