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Finding the Third Proportional to 66,948 and 145,564

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Solution

The third proportional to 66,948 and 145,564 is: 316,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,948 : 145,564 = 145,564 : x
  2. Step 2: Convert to fraction form
    66,948/145,564 = 145,564/x
  3. Step 3: Cross multiply
    66,948x = 145,564 × 145,564
  4. Step 4: Simplify right side
    66,948x = 21,188,878,096
  5. Step 5: Solve for x
    x = 21,188,878,096/66,948
  6. Step 6: Final answer
    x = 316,497.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.