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Finding the Third Proportional to 58,516.50 and 88,293

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Solution

The third proportional to 58,516.50 and 88,293 is: 133,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,516.50 : 88,293 = 88,293 : x
  2. Step 2: Convert to fraction form
    58,516.50/88,293 = 88,293/x
  3. Step 3: Cross multiply
    58,516.50x = 88,293 × 88,293
  4. Step 4: Simplify right side
    58,516.50x = 7,795,653,849
  5. Step 5: Solve for x
    x = 7,795,653,849/58,516.50
  6. Step 6: Final answer
    x = 133,221.46

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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.