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Finding the Third Proportional to 104,210 and 161,463.75

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Solution

The third proportional to 104,210 and 161,463.75 is: 250,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,210 : 161,463.75 = 161,463.75 : x
  2. Step 2: Convert to fraction form
    104,210/161,463.75 = 161,463.75/x
  3. Step 3: Cross multiply
    104,210x = 161,463.75 × 161,463.75
  4. Step 4: Simplify right side
    104,210x = 26,070,542,564.06
  5. Step 5: Solve for x
    x = 26,070,542,564.06/104,210
  6. Step 6: Final answer
    x = 250,173.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.