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Finding the Third Proportional to 123,610.88 and 265,851.75

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Solution

The third proportional to 123,610.88 and 265,851.75 is: 571,771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,610.88 : 265,851.75 = 265,851.75 : x
  2. Step 2: Convert to fraction form
    123,610.88/265,851.75 = 265,851.75/x
  3. Step 3: Cross multiply
    123,610.88x = 265,851.75 × 265,851.75
  4. Step 4: Simplify right side
    123,610.88x = 70,677,152,978.06
  5. Step 5: Solve for x
    x = 70,677,152,978.06/123,610.88
  6. Step 6: Final answer
    x = 571,771.32

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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.