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Finding the Third Proportional to 114,956 and 177,354.50

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Solution

The third proportional to 114,956 and 177,354.50 is: 273,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,956 : 177,354.50 = 177,354.50 : x
  2. Step 2: Convert to fraction form
    114,956/177,354.50 = 177,354.50/x
  3. Step 3: Cross multiply
    114,956x = 177,354.50 × 177,354.50
  4. Step 4: Simplify right side
    114,956x = 31,454,618,670.25
  5. Step 5: Solve for x
    x = 31,454,618,670.25/114,956
  6. Step 6: Final answer
    x = 273,623.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.