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Finding the Third Proportional to 58,303 and 125,524

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Solution

The third proportional to 58,303 and 125,524 is: 270,248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,303 : 125,524 = 125,524 : x
  2. Step 2: Convert to fraction form
    58,303/125,524 = 125,524/x
  3. Step 3: Cross multiply
    58,303x = 125,524 × 125,524
  4. Step 4: Simplify right side
    58,303x = 15,756,274,576
  5. Step 5: Solve for x
    x = 15,756,274,576/58,303
  6. Step 6: Final answer
    x = 270,248.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.