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Finding the Third Proportional to 66,578 and 142,948

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Solution

The third proportional to 66,578 and 142,948 is: 306,920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,578 : 142,948 = 142,948 : x
  2. Step 2: Convert to fraction form
    66,578/142,948 = 142,948/x
  3. Step 3: Cross multiply
    66,578x = 142,948 × 142,948
  4. Step 4: Simplify right side
    66,578x = 20,434,130,704
  5. Step 5: Solve for x
    x = 20,434,130,704/66,578
  6. Step 6: Final answer
    x = 306,920.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.