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Finding the Third Proportional to 72,570.94 and 170,751.38

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Solution

The third proportional to 72,570.94 and 170,751.38 is: 401,759.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,570.94 : 170,751.38 = 170,751.38 : x
  2. Step 2: Convert to fraction form
    72,570.94/170,751.38 = 170,751.38/x
  3. Step 3: Cross multiply
    72,570.94x = 170,751.38 × 170,751.38
  4. Step 4: Simplify right side
    72,570.94x = 29,156,032,064.39
  5. Step 5: Solve for x
    x = 29,156,032,064.39/72,570.94
  6. Step 6: Final answer
    x = 401,759.07

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.