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Finding the Third Proportional to 125,646.75 and 273,453.75

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Solution

The third proportional to 125,646.75 and 273,453.75 is: 595,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,646.75 : 273,453.75 = 273,453.75 : x
  2. Step 2: Convert to fraction form
    125,646.75/273,453.75 = 273,453.75/x
  3. Step 3: Cross multiply
    125,646.75x = 273,453.75 × 273,453.75
  4. Step 4: Simplify right side
    125,646.75x = 74,776,953,389.06
  5. Step 5: Solve for x
    x = 74,776,953,389.06/125,646.75
  6. Step 6: Final answer
    x = 595,136.39

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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.