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Finding the Third Proportional to 66,448.13 and 95,946.19

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Solution

The third proportional to 66,448.13 and 95,946.19 is: 138,539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,448.13 : 95,946.19 = 95,946.19 : x
  2. Step 2: Convert to fraction form
    66,448.13/95,946.19 = 95,946.19/x
  3. Step 3: Cross multiply
    66,448.13x = 95,946.19 × 95,946.19
  4. Step 4: Simplify right side
    66,448.13x = 9,205,670,895.79
  5. Step 5: Solve for x
    x = 9,205,670,895.79/66,448.13
  6. Step 6: Final answer
    x = 138,539.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.