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Finding the Third Proportional to 85,370 and 93,025

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Solution

The third proportional to 85,370 and 93,025 is: 101,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,370 : 93,025 = 93,025 : x
  2. Step 2: Convert to fraction form
    85,370/93,025 = 93,025/x
  3. Step 3: Cross multiply
    85,370x = 93,025 × 93,025
  4. Step 4: Simplify right side
    85,370x = 8,653,650,625
  5. Step 5: Solve for x
    x = 8,653,650,625/85,370
  6. Step 6: Final answer
    x = 101,366.41

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.