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Finding the Third Proportional to 72,176.25 and 157,453.50

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Solution

The third proportional to 72,176.25 and 157,453.50 is: 343,487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,176.25 : 157,453.50 = 157,453.50 : x
  2. Step 2: Convert to fraction form
    72,176.25/157,453.50 = 157,453.50/x
  3. Step 3: Cross multiply
    72,176.25x = 157,453.50 × 157,453.50
  4. Step 4: Simplify right side
    72,176.25x = 24,791,604,662.25
  5. Step 5: Solve for x
    x = 24,791,604,662.25/72,176.25
  6. Step 6: Final answer
    x = 343,487.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.