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Finding the Third Proportional to 73,120 and 159,623

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Solution

The third proportional to 73,120 and 159,623 is: 348,461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,120 : 159,623 = 159,623 : x
  2. Step 2: Convert to fraction form
    73,120/159,623 = 159,623/x
  3. Step 3: Cross multiply
    73,120x = 159,623 × 159,623
  4. Step 4: Simplify right side
    73,120x = 25,479,502,129
  5. Step 5: Solve for x
    x = 25,479,502,129/73,120
  6. Step 6: Final answer
    x = 348,461.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.