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Finding the Third Proportional to 74,745 and 163,505.25

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Solution

The third proportional to 74,745 and 163,505.25 is: 357,668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,745 : 163,505.25 = 163,505.25 : x
  2. Step 2: Convert to fraction form
    74,745/163,505.25 = 163,505.25/x
  3. Step 3: Cross multiply
    74,745x = 163,505.25 × 163,505.25
  4. Step 4: Simplify right side
    74,745x = 26,733,966,777.56
  5. Step 5: Solve for x
    x = 26,733,966,777.56/74,745
  6. Step 6: Final answer
    x = 357,668.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.