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Finding the Third Proportional to 66,900 and 103,348

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Solution

The third proportional to 66,900 and 103,348 is: 159,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,900 : 103,348 = 103,348 : x
  2. Step 2: Convert to fraction form
    66,900/103,348 = 103,348/x
  3. Step 3: Cross multiply
    66,900x = 103,348 × 103,348
  4. Step 4: Simplify right side
    66,900x = 10,680,809,104
  5. Step 5: Solve for x
    x = 10,680,809,104/66,900
  6. Step 6: Final answer
    x = 159,653.35

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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.