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Finding the Third Proportional to 125,977.78 and 274,098.94

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Solution

The third proportional to 125,977.78 and 274,098.94 is: 596,376.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,977.78 : 274,098.94 = 274,098.94 : x
  2. Step 2: Convert to fraction form
    125,977.78/274,098.94 = 274,098.94/x
  3. Step 3: Cross multiply
    125,977.78x = 274,098.94 × 274,098.94
  4. Step 4: Simplify right side
    125,977.78x = 75,130,227,538.63
  5. Step 5: Solve for x
    x = 75,130,227,538.63/125,977.78
  6. Step 6: Final answer
    x = 596,376.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.