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Finding the Third Proportional to 46,060 and 95,400

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Solution

The third proportional to 46,060 and 95,400 is: 197,593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,060 : 95,400 = 95,400 : x
  2. Step 2: Convert to fraction form
    46,060/95,400 = 95,400/x
  3. Step 3: Cross multiply
    46,060x = 95,400 × 95,400
  4. Step 4: Simplify right side
    46,060x = 9,101,160,000
  5. Step 5: Solve for x
    x = 9,101,160,000/46,060
  6. Step 6: Final answer
    x = 197,593.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.