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Finding the Third Proportional to 58,486 and 88,252

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Solution

The third proportional to 58,486 and 88,252 is: 133,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,486 : 88,252 = 88,252 : x
  2. Step 2: Convert to fraction form
    58,486/88,252 = 88,252/x
  3. Step 3: Cross multiply
    58,486x = 88,252 × 88,252
  4. Step 4: Simplify right side
    58,486x = 7,788,415,504
  5. Step 5: Solve for x
    x = 7,788,415,504/58,486
  6. Step 6: Final answer
    x = 133,167.18

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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.