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Finding the Third Proportional to 58,504 and 94,218

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Solution

The third proportional to 58,504 and 94,218 is: 151,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,504 : 94,218 = 94,218 : x
  2. Step 2: Convert to fraction form
    58,504/94,218 = 94,218/x
  3. Step 3: Cross multiply
    58,504x = 94,218 × 94,218
  4. Step 4: Simplify right side
    58,504x = 8,877,031,524
  5. Step 5: Solve for x
    x = 8,877,031,524/58,504
  6. Step 6: Final answer
    x = 151,733.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.