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Finding the Third Proportional to 124,578 and 265,765.50

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Solution

The third proportional to 124,578 and 265,765.50 is: 566,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,578 : 265,765.50 = 265,765.50 : x
  2. Step 2: Convert to fraction form
    124,578/265,765.50 = 265,765.50/x
  3. Step 3: Cross multiply
    124,578x = 265,765.50 × 265,765.50
  4. Step 4: Simplify right side
    124,578x = 70,631,300,990.25
  5. Step 5: Solve for x
    x = 70,631,300,990.25/124,578
  6. Step 6: Final answer
    x = 566,964.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.