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Finding the Third Proportional to 72,315.84 and 157,069.97

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Solution

The third proportional to 72,315.84 and 157,069.97 is: 341,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,315.84 : 157,069.97 = 157,069.97 : x
  2. Step 2: Convert to fraction form
    72,315.84/157,069.97 = 157,069.97/x
  3. Step 3: Cross multiply
    72,315.84x = 157,069.97 × 157,069.97
  4. Step 4: Simplify right side
    72,315.84x = 24,670,975,083.13
  5. Step 5: Solve for x
    x = 24,670,975,083.13/72,315.84
  6. Step 6: Final answer
    x = 341,155.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.