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Finding the Third Proportional to 50,888.25 and 114,280.88

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Solution

The third proportional to 50,888.25 and 114,280.88 is: 256,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,888.25 : 114,280.88 = 114,280.88 : x
  2. Step 2: Convert to fraction form
    50,888.25/114,280.88 = 114,280.88/x
  3. Step 3: Cross multiply
    50,888.25x = 114,280.88 × 114,280.88
  4. Step 4: Simplify right side
    50,888.25x = 13,060,118,390.77
  5. Step 5: Solve for x
    x = 13,060,118,390.77/50,888.25
  6. Step 6: Final answer
    x = 256,643.10

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.