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Finding the Third Proportional to 72,330.47 and 110,954.81

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Solution

The third proportional to 72,330.47 and 110,954.81 is: 170,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,330.47 : 110,954.81 = 110,954.81 : x
  2. Step 2: Convert to fraction form
    72,330.47/110,954.81 = 110,954.81/x
  3. Step 3: Cross multiply
    72,330.47x = 110,954.81 × 110,954.81
  4. Step 4: Simplify right side
    72,330.47x = 12,310,970,416.91
  5. Step 5: Solve for x
    x = 12,310,970,416.91/72,330.47
  6. Step 6: Final answer
    x = 170,204.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.