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Finding the Third Proportional to 123,141.75 and 265,930.50

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Solution

The third proportional to 123,141.75 and 265,930.50 is: 574,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,141.75 : 265,930.50 = 265,930.50 : x
  2. Step 2: Convert to fraction form
    123,141.75/265,930.50 = 265,930.50/x
  3. Step 3: Cross multiply
    123,141.75x = 265,930.50 × 265,930.50
  4. Step 4: Simplify right side
    123,141.75x = 70,719,030,830.25
  5. Step 5: Solve for x
    x = 70,719,030,830.25/123,141.75
  6. Step 6: Final answer
    x = 574,289.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.