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Finding the Third Proportional to 125,469 and 257,052

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Solution

The third proportional to 125,469 and 257,052 is: 526,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,469 : 257,052 = 257,052 : x
  2. Step 2: Convert to fraction form
    125,469/257,052 = 257,052/x
  3. Step 3: Cross multiply
    125,469x = 257,052 × 257,052
  4. Step 4: Simplify right side
    125,469x = 66,075,730,704
  5. Step 5: Solve for x
    x = 66,075,730,704/125,469
  6. Step 6: Final answer
    x = 526,629.93

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Why These Related Problems?

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