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Finding the Third Proportional to 125,072 and 273,498.75

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Solution

The third proportional to 125,072 and 273,498.75 is: 598,068.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,072 : 273,498.75 = 273,498.75 : x
  2. Step 2: Convert to fraction form
    125,072/273,498.75 = 273,498.75/x
  3. Step 3: Cross multiply
    125,072x = 273,498.75 × 273,498.75
  4. Step 4: Simplify right side
    125,072x = 74,801,566,251.56
  5. Step 5: Solve for x
    x = 74,801,566,251.56/125,072
  6. Step 6: Final answer
    x = 598,068.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.