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Finding the Third Proportional to 58,436 and 94,940

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Solution

The third proportional to 58,436 and 94,940 is: 154,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,436 : 94,940 = 94,940 : x
  2. Step 2: Convert to fraction form
    58,436/94,940 = 94,940/x
  3. Step 3: Cross multiply
    58,436x = 94,940 × 94,940
  4. Step 4: Simplify right side
    58,436x = 9,013,603,600
  5. Step 5: Solve for x
    x = 9,013,603,600/58,436
  6. Step 6: Final answer
    x = 154,247.44

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.