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Finding the Third Proportional to 58,762 and 88,274

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Solution

The third proportional to 58,762 and 88,274 is: 132,607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,762 : 88,274 = 88,274 : x
  2. Step 2: Convert to fraction form
    58,762/88,274 = 88,274/x
  3. Step 3: Cross multiply
    58,762x = 88,274 × 88,274
  4. Step 4: Simplify right side
    58,762x = 7,792,299,076
  5. Step 5: Solve for x
    x = 7,792,299,076/58,762
  6. Step 6: Final answer
    x = 132,607.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.