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Finding the Third Proportional to 72,160 and 159,888

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Solution

The third proportional to 72,160 and 159,888 is: 354,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,160 : 159,888 = 159,888 : x
  2. Step 2: Convert to fraction form
    72,160/159,888 = 159,888/x
  3. Step 3: Cross multiply
    72,160x = 159,888 × 159,888
  4. Step 4: Simplify right side
    72,160x = 25,564,172,544
  5. Step 5: Solve for x
    x = 25,564,172,544/72,160
  6. Step 6: Final answer
    x = 354,270.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.