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Finding the Third Proportional to 123,140.25 and 265,113

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Solution

The third proportional to 123,140.25 and 265,113 is: 570,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,140.25 : 265,113 = 265,113 : x
  2. Step 2: Convert to fraction form
    123,140.25/265,113 = 265,113/x
  3. Step 3: Cross multiply
    123,140.25x = 265,113 × 265,113
  4. Step 4: Simplify right side
    123,140.25x = 70,284,902,769
  5. Step 5: Solve for x
    x = 70,284,902,769/123,140.25
  6. Step 6: Final answer
    x = 570,771.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.