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Finding the Third Proportional to 71,772 and 157,224

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Solution

The third proportional to 71,772 and 157,224 is: 344,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,772 : 157,224 = 157,224 : x
  2. Step 2: Convert to fraction form
    71,772/157,224 = 157,224/x
  3. Step 3: Cross multiply
    71,772x = 157,224 × 157,224
  4. Step 4: Simplify right side
    71,772x = 24,719,386,176
  5. Step 5: Solve for x
    x = 24,719,386,176/71,772
  6. Step 6: Final answer
    x = 344,415.46

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Why These Related Problems?

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