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Finding the Third Proportional to 58,500 and 88,276

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Solution

The third proportional to 58,500 and 88,276 is: 133,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,500 : 88,276 = 88,276 : x
  2. Step 2: Convert to fraction form
    58,500/88,276 = 88,276/x
  3. Step 3: Cross multiply
    58,500x = 88,276 × 88,276
  4. Step 4: Simplify right side
    58,500x = 7,792,652,176
  5. Step 5: Solve for x
    x = 7,792,652,176/58,500
  6. Step 6: Final answer
    x = 133,207.73

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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.