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Finding the Third Proportional to 58,811.50 and 88,765

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Solution

The third proportional to 58,811.50 and 88,765 is: 133,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,811.50 : 88,765 = 88,765 : x
  2. Step 2: Convert to fraction form
    58,811.50/88,765 = 88,765/x
  3. Step 3: Cross multiply
    58,811.50x = 88,765 × 88,765
  4. Step 4: Simplify right side
    58,811.50x = 7,879,225,225
  5. Step 5: Solve for x
    x = 7,879,225,225/58,811.50
  6. Step 6: Final answer
    x = 133,974.23

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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.