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Finding the Third Proportional to 125,353 and 273,570

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Solution

The third proportional to 125,353 and 273,570 is: 597,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,353 : 273,570 = 273,570 : x
  2. Step 2: Convert to fraction form
    125,353/273,570 = 273,570/x
  3. Step 3: Cross multiply
    125,353x = 273,570 × 273,570
  4. Step 4: Simplify right side
    125,353x = 74,840,544,900
  5. Step 5: Solve for x
    x = 74,840,544,900/125,353
  6. Step 6: Final answer
    x = 597,038.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.