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Finding the Third Proportional to 66,596 and 146,065

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Solution

The third proportional to 66,596 and 146,065 is: 320,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,596 : 146,065 = 146,065 : x
  2. Step 2: Convert to fraction form
    66,596/146,065 = 146,065/x
  3. Step 3: Cross multiply
    66,596x = 146,065 × 146,065
  4. Step 4: Simplify right side
    66,596x = 21,334,984,225
  5. Step 5: Solve for x
    x = 21,334,984,225/66,596
  6. Step 6: Final answer
    x = 320,364.35

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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.