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Finding the Third Proportional to 58,529 and 88,310

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Solution

The third proportional to 58,529 and 88,310 is: 133,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,529 : 88,310 = 88,310 : x
  2. Step 2: Convert to fraction form
    58,529/88,310 = 88,310/x
  3. Step 3: Cross multiply
    58,529x = 88,310 × 88,310
  4. Step 4: Simplify right side
    58,529x = 7,798,656,100
  5. Step 5: Solve for x
    x = 7,798,656,100/58,529
  6. Step 6: Final answer
    x = 133,244.31

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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.