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Finding the Third Proportional to 125,570 and 261,364

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Solution

The third proportional to 125,570 and 261,364 is: 544,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,570 : 261,364 = 261,364 : x
  2. Step 2: Convert to fraction form
    125,570/261,364 = 261,364/x
  3. Step 3: Cross multiply
    125,570x = 261,364 × 261,364
  4. Step 4: Simplify right side
    125,570x = 68,311,140,496
  5. Step 5: Solve for x
    x = 68,311,140,496/125,570
  6. Step 6: Final answer
    x = 544,008.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.