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Finding the Third Proportional to 114,459.75 and 177,439.50

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Solution

The third proportional to 114,459.75 and 177,439.50 is: 275,072.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,459.75 : 177,439.50 = 177,439.50 : x
  2. Step 2: Convert to fraction form
    114,459.75/177,439.50 = 177,439.50/x
  3. Step 3: Cross multiply
    114,459.75x = 177,439.50 × 177,439.50
  4. Step 4: Simplify right side
    114,459.75x = 31,484,776,160.25
  5. Step 5: Solve for x
    x = 31,484,776,160.25/114,459.75
  6. Step 6: Final answer
    x = 275,072.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.