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Finding the Third Proportional to 66,208 and 102,582

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Solution

The third proportional to 66,208 and 102,582 is: 158,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,208 : 102,582 = 102,582 : x
  2. Step 2: Convert to fraction form
    66,208/102,582 = 102,582/x
  3. Step 3: Cross multiply
    66,208x = 102,582 × 102,582
  4. Step 4: Simplify right side
    66,208x = 10,523,066,724
  5. Step 5: Solve for x
    x = 10,523,066,724/66,208
  6. Step 6: Final answer
    x = 158,939.50

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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.