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Finding the Third Proportional to 125,246.25 and 262,795.64

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Solution

The third proportional to 125,246.25 and 262,795.64 is: 551,406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,246.25 : 262,795.64 = 262,795.64 : x
  2. Step 2: Convert to fraction form
    125,246.25/262,795.64 = 262,795.64/x
  3. Step 3: Cross multiply
    125,246.25x = 262,795.64 × 262,795.64
  4. Step 4: Simplify right side
    125,246.25x = 69,061,548,731.50
  5. Step 5: Solve for x
    x = 69,061,548,731.50/125,246.25
  6. Step 6: Final answer
    x = 551,406.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.