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Finding the Third Proportional to 81,360 and 119,400

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Solution

The third proportional to 81,360 and 119,400 is: 175,225.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,360 : 119,400 = 119,400 : x
  2. Step 2: Convert to fraction form
    81,360/119,400 = 119,400/x
  3. Step 3: Cross multiply
    81,360x = 119,400 × 119,400
  4. Step 4: Simplify right side
    81,360x = 14,256,360,000
  5. Step 5: Solve for x
    x = 14,256,360,000/81,360
  6. Step 6: Final answer
    x = 175,225.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.