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Finding the Third Proportional to 114,639.75 and 152,893.88

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Solution

The third proportional to 114,639.75 and 152,893.88 is: 203,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,639.75 : 152,893.88 = 152,893.88 : x
  2. Step 2: Convert to fraction form
    114,639.75/152,893.88 = 152,893.88/x
  3. Step 3: Cross multiply
    114,639.75x = 152,893.88 × 152,893.88
  4. Step 4: Simplify right side
    114,639.75x = 23,376,537,012.52
  5. Step 5: Solve for x
    x = 23,376,537,012.52/114,639.75
  6. Step 6: Final answer
    x = 203,913.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.