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Finding the Third Proportional to 66,596.50 and 141,668.50

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Solution

The third proportional to 66,596.50 and 141,668.50 is: 301,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,596.50 : 141,668.50 = 141,668.50 : x
  2. Step 2: Convert to fraction form
    66,596.50/141,668.50 = 141,668.50/x
  3. Step 3: Cross multiply
    66,596.50x = 141,668.50 × 141,668.50
  4. Step 4: Simplify right side
    66,596.50x = 20,069,963,892.25
  5. Step 5: Solve for x
    x = 20,069,963,892.25/66,596.50
  6. Step 6: Final answer
    x = 301,366.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.