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Finding the Third Proportional to 127,557 and 184,392.75

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Solution

The third proportional to 127,557 and 184,392.75 is: 266,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,557 : 184,392.75 = 184,392.75 : x
  2. Step 2: Convert to fraction form
    127,557/184,392.75 = 184,392.75/x
  3. Step 3: Cross multiply
    127,557x = 184,392.75 × 184,392.75
  4. Step 4: Simplify right side
    127,557x = 34,000,686,252.56
  5. Step 5: Solve for x
    x = 34,000,686,252.56/127,557
  6. Step 6: Final answer
    x = 266,552.88

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.