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Finding the Third Proportional to 61,002 and 93,880

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Solution

The third proportional to 61,002 and 93,880 is: 144,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,002 : 93,880 = 93,880 : x
  2. Step 2: Convert to fraction form
    61,002/93,880 = 93,880/x
  3. Step 3: Cross multiply
    61,002x = 93,880 × 93,880
  4. Step 4: Simplify right side
    61,002x = 8,813,454,400
  5. Step 5: Solve for x
    x = 8,813,454,400/61,002
  6. Step 6: Final answer
    x = 144,478.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.