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Finding the Third Proportional to 76,066.59 and 163,341.56

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Solution

The third proportional to 76,066.59 and 163,341.56 is: 350,751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,066.59 : 163,341.56 = 163,341.56 : x
  2. Step 2: Convert to fraction form
    76,066.59/163,341.56 = 163,341.56/x
  3. Step 3: Cross multiply
    76,066.59x = 163,341.56 × 163,341.56
  4. Step 4: Simplify right side
    76,066.59x = 26,680,466,039.94
  5. Step 5: Solve for x
    x = 26,680,466,039.94/76,066.59
  6. Step 6: Final answer
    x = 350,751.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.