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Finding the Third Proportional to 73,501 and 161,015

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Solution

The third proportional to 73,501 and 161,015 is: 352,727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,501 : 161,015 = 161,015 : x
  2. Step 2: Convert to fraction form
    73,501/161,015 = 161,015/x
  3. Step 3: Cross multiply
    73,501x = 161,015 × 161,015
  4. Step 4: Simplify right side
    73,501x = 25,925,830,225
  5. Step 5: Solve for x
    x = 25,925,830,225/73,501
  6. Step 6: Final answer
    x = 352,727.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.