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Finding the Third Proportional to 85,920 and 93,574

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Solution

The third proportional to 85,920 and 93,574 is: 101,909.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,920 : 93,574 = 93,574 : x
  2. Step 2: Convert to fraction form
    85,920/93,574 = 93,574/x
  3. Step 3: Cross multiply
    85,920x = 93,574 × 93,574
  4. Step 4: Simplify right side
    85,920x = 8,756,093,476
  5. Step 5: Solve for x
    x = 8,756,093,476/85,920
  6. Step 6: Final answer
    x = 101,909.84

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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.