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Finding the Third Proportional to 58,498 and 94,206

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Solution

The third proportional to 58,498 and 94,206 is: 151,710.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,498 : 94,206 = 94,206 : x
  2. Step 2: Convert to fraction form
    58,498/94,206 = 94,206/x
  3. Step 3: Cross multiply
    58,498x = 94,206 × 94,206
  4. Step 4: Simplify right side
    58,498x = 8,874,770,436
  5. Step 5: Solve for x
    x = 8,874,770,436/58,498
  6. Step 6: Final answer
    x = 151,710.66

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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.