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Finding the Third Proportional to 66,894 and 103,281

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Solution

The third proportional to 66,894 and 103,281 is: 159,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,894 : 103,281 = 103,281 : x
  2. Step 2: Convert to fraction form
    66,894/103,281 = 103,281/x
  3. Step 3: Cross multiply
    66,894x = 103,281 × 103,281
  4. Step 4: Simplify right side
    66,894x = 10,666,964,961
  5. Step 5: Solve for x
    x = 10,666,964,961/66,894
  6. Step 6: Final answer
    x = 159,460.71

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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.