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Finding the Third Proportional to 58,467 and 94,161

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Solution

The third proportional to 58,467 and 94,161 is: 151,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,467 : 94,161 = 94,161 : x
  2. Step 2: Convert to fraction form
    58,467/94,161 = 94,161/x
  3. Step 3: Cross multiply
    58,467x = 94,161 × 94,161
  4. Step 4: Simplify right side
    58,467x = 8,866,293,921
  5. Step 5: Solve for x
    x = 8,866,293,921/58,467
  6. Step 6: Final answer
    x = 151,646.12

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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.