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Finding the Third Proportional to 58,334.50 and 88,231

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Solution

The third proportional to 58,334.50 and 88,231 is: 133,449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,334.50 : 88,231 = 88,231 : x
  2. Step 2: Convert to fraction form
    58,334.50/88,231 = 88,231/x
  3. Step 3: Cross multiply
    58,334.50x = 88,231 × 88,231
  4. Step 4: Simplify right side
    58,334.50x = 7,784,709,361
  5. Step 5: Solve for x
    x = 7,784,709,361/58,334.50
  6. Step 6: Final answer
    x = 133,449.49

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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.