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Finding the Third Proportional to 59,814 and 92,880

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Solution

The third proportional to 59,814 and 92,880 is: 144,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,814 : 92,880 = 92,880 : x
  2. Step 2: Convert to fraction form
    59,814/92,880 = 92,880/x
  3. Step 3: Cross multiply
    59,814x = 92,880 × 92,880
  4. Step 4: Simplify right side
    59,814x = 8,626,694,400
  5. Step 5: Solve for x
    x = 8,626,694,400/59,814
  6. Step 6: Final answer
    x = 144,225.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.