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Finding the Third Proportional to 58,260 and 92,395

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Solution

The third proportional to 58,260 and 92,395 is: 146,529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,260 : 92,395 = 92,395 : x
  2. Step 2: Convert to fraction form
    58,260/92,395 = 92,395/x
  3. Step 3: Cross multiply
    58,260x = 92,395 × 92,395
  4. Step 4: Simplify right side
    58,260x = 8,536,836,025
  5. Step 5: Solve for x
    x = 8,536,836,025/58,260
  6. Step 6: Final answer
    x = 146,529.97

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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.