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Finding the Third Proportional to 66,964 and 146,348

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Solution

The third proportional to 66,964 and 146,348 is: 319,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,964 : 146,348 = 146,348 : x
  2. Step 2: Convert to fraction form
    66,964/146,348 = 146,348/x
  3. Step 3: Cross multiply
    66,964x = 146,348 × 146,348
  4. Step 4: Simplify right side
    66,964x = 21,417,737,104
  5. Step 5: Solve for x
    x = 21,417,737,104/66,964
  6. Step 6: Final answer
    x = 319,839.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.