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Finding the Third Proportional to 58,498 and 88,273

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Solution

The third proportional to 58,498 and 88,273 is: 133,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,498 : 88,273 = 88,273 : x
  2. Step 2: Convert to fraction form
    58,498/88,273 = 88,273/x
  3. Step 3: Cross multiply
    58,498x = 88,273 × 88,273
  4. Step 4: Simplify right side
    58,498x = 7,792,122,529
  5. Step 5: Solve for x
    x = 7,792,122,529/58,498
  6. Step 6: Final answer
    x = 133,203.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.