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Finding the Third Proportional to 74,457 and 162,018

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Solution

The third proportional to 74,457 and 162,018 is: 352,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,457 : 162,018 = 162,018 : x
  2. Step 2: Convert to fraction form
    74,457/162,018 = 162,018/x
  3. Step 3: Cross multiply
    74,457x = 162,018 × 162,018
  4. Step 4: Simplify right side
    74,457x = 26,249,832,324
  5. Step 5: Solve for x
    x = 26,249,832,324/74,457
  6. Step 6: Final answer
    x = 352,550.23

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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.