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Finding the Third Proportional to 72,896 and 157,896

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Solution

The third proportional to 72,896 and 157,896 is: 342,009.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,896 : 157,896 = 157,896 : x
  2. Step 2: Convert to fraction form
    72,896/157,896 = 157,896/x
  3. Step 3: Cross multiply
    72,896x = 157,896 × 157,896
  4. Step 4: Simplify right side
    72,896x = 24,931,146,816
  5. Step 5: Solve for x
    x = 24,931,146,816/72,896
  6. Step 6: Final answer
    x = 342,009.81

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Why These Related Problems?

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