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Finding the Third Proportional to 74,813.63 and 161,496.28

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Solution

The third proportional to 74,813.63 and 161,496.28 is: 348,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,813.63 : 161,496.28 = 161,496.28 : x
  2. Step 2: Convert to fraction form
    74,813.63/161,496.28 = 161,496.28/x
  3. Step 3: Cross multiply
    74,813.63x = 161,496.28 × 161,496.28
  4. Step 4: Simplify right side
    74,813.63x = 26,081,048,857.58
  5. Step 5: Solve for x
    x = 26,081,048,857.58/74,813.63
  6. Step 6: Final answer
    x = 348,613.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.