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Finding the Third Proportional to 125,465.63 and 257,046.75

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Solution

The third proportional to 125,465.63 and 257,046.75 is: 526,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,465.63 : 257,046.75 = 257,046.75 : x
  2. Step 2: Convert to fraction form
    125,465.63/257,046.75 = 257,046.75/x
  3. Step 3: Cross multiply
    125,465.63x = 257,046.75 × 257,046.75
  4. Step 4: Simplify right side
    125,465.63x = 66,073,031,685.56
  5. Step 5: Solve for x
    x = 66,073,031,685.56/125,465.63
  6. Step 6: Final answer
    x = 526,622.58

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.