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Finding the Third Proportional to 58,228 and 92,350

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Solution

The third proportional to 58,228 and 92,350 is: 146,467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,228 : 92,350 = 92,350 : x
  2. Step 2: Convert to fraction form
    58,228/92,350 = 92,350/x
  3. Step 3: Cross multiply
    58,228x = 92,350 × 92,350
  4. Step 4: Simplify right side
    58,228x = 8,528,522,500
  5. Step 5: Solve for x
    x = 8,528,522,500/58,228
  6. Step 6: Final answer
    x = 146,467.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.