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Finding the Third Proportional to 125,672.50 and 273,458

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Solution

The third proportional to 125,672.50 and 273,458 is: 595,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,672.50 : 273,458 = 273,458 : x
  2. Step 2: Convert to fraction form
    125,672.50/273,458 = 273,458/x
  3. Step 3: Cross multiply
    125,672.50x = 273,458 × 273,458
  4. Step 4: Simplify right side
    125,672.50x = 74,779,277,764
  5. Step 5: Solve for x
    x = 74,779,277,764/125,672.50
  6. Step 6: Final answer
    x = 595,032.94

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