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Finding the Third Proportional to 58,349 and 90,524

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Solution

The third proportional to 58,349 and 90,524 is: 140,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,349 : 90,524 = 90,524 : x
  2. Step 2: Convert to fraction form
    58,349/90,524 = 90,524/x
  3. Step 3: Cross multiply
    58,349x = 90,524 × 90,524
  4. Step 4: Simplify right side
    58,349x = 8,194,594,576
  5. Step 5: Solve for x
    x = 8,194,594,576/58,349
  6. Step 6: Final answer
    x = 140,441.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.