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Finding the Third Proportional to 73,044 and 158,472

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Solution

The third proportional to 73,044 and 158,472 is: 343,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,044 : 158,472 = 158,472 : x
  2. Step 2: Convert to fraction form
    73,044/158,472 = 158,472/x
  3. Step 3: Cross multiply
    73,044x = 158,472 × 158,472
  4. Step 4: Simplify right side
    73,044x = 25,113,374,784
  5. Step 5: Solve for x
    x = 25,113,374,784/73,044
  6. Step 6: Final answer
    x = 343,811.60

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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.