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Finding the Third Proportional to 58,754 and 88,261

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Solution

The third proportional to 58,754 and 88,261 is: 132,586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,754 : 88,261 = 88,261 : x
  2. Step 2: Convert to fraction form
    58,754/88,261 = 88,261/x
  3. Step 3: Cross multiply
    58,754x = 88,261 × 88,261
  4. Step 4: Simplify right side
    58,754x = 7,790,004,121
  5. Step 5: Solve for x
    x = 7,790,004,121/58,754
  6. Step 6: Final answer
    x = 132,586.79

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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.