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Finding the Third Proportional to 77,608.13 and 171,573.19

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Solution

The third proportional to 77,608.13 and 171,573.19 is: 379,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,608.13 : 171,573.19 = 171,573.19 : x
  2. Step 2: Convert to fraction form
    77,608.13/171,573.19 = 171,573.19/x
  3. Step 3: Cross multiply
    77,608.13x = 171,573.19 × 171,573.19
  4. Step 4: Simplify right side
    77,608.13x = 29,437,358,668.91
  5. Step 5: Solve for x
    x = 29,437,358,668.91/77,608.13
  6. Step 6: Final answer
    x = 379,307.69

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.