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Finding the Third Proportional to 125,061 and 273,838.50

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Solution

The third proportional to 125,061 and 273,838.50 is: 599,607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,061 : 273,838.50 = 273,838.50 : x
  2. Step 2: Convert to fraction form
    125,061/273,838.50 = 273,838.50/x
  3. Step 3: Cross multiply
    125,061x = 273,838.50 × 273,838.50
  4. Step 4: Simplify right side
    125,061x = 74,987,524,082.25
  5. Step 5: Solve for x
    x = 74,987,524,082.25/125,061
  6. Step 6: Final answer
    x = 599,607.58

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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.