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Finding the Third Proportional to 73,506 and 161,022

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Solution

The third proportional to 73,506 and 161,022 is: 352,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,506 : 161,022 = 161,022 : x
  2. Step 2: Convert to fraction form
    73,506/161,022 = 161,022/x
  3. Step 3: Cross multiply
    73,506x = 161,022 × 161,022
  4. Step 4: Simplify right side
    73,506x = 25,928,084,484
  5. Step 5: Solve for x
    x = 25,928,084,484/73,506
  6. Step 6: Final answer
    x = 352,734.26

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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.