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Finding the Third Proportional to 58,367 and 86,700

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Solution

The third proportional to 58,367 and 86,700 is: 128,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,367 : 86,700 = 86,700 : x
  2. Step 2: Convert to fraction form
    58,367/86,700 = 86,700/x
  3. Step 3: Cross multiply
    58,367x = 86,700 × 86,700
  4. Step 4: Simplify right side
    58,367x = 7,516,890,000
  5. Step 5: Solve for x
    x = 7,516,890,000/58,367
  6. Step 6: Final answer
    x = 128,786.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.