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Finding the Third Proportional to 66,360 and 102,900

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Solution

The third proportional to 66,360 and 102,900 is: 159,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,360 : 102,900 = 102,900 : x
  2. Step 2: Convert to fraction form
    66,360/102,900 = 102,900/x
  3. Step 3: Cross multiply
    66,360x = 102,900 × 102,900
  4. Step 4: Simplify right side
    66,360x = 10,588,410,000
  5. Step 5: Solve for x
    x = 10,588,410,000/66,360
  6. Step 6: Final answer
    x = 159,560.13

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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.