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Finding the Third Proportional to 58,048 and 92,685

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Solution

The third proportional to 58,048 and 92,685 is: 147,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,048 : 92,685 = 92,685 : x
  2. Step 2: Convert to fraction form
    58,048/92,685 = 92,685/x
  3. Step 3: Cross multiply
    58,048x = 92,685 × 92,685
  4. Step 4: Simplify right side
    58,048x = 8,590,509,225
  5. Step 5: Solve for x
    x = 8,590,509,225/58,048
  6. Step 6: Final answer
    x = 147,989.75

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.