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Finding the Third Proportional to 74,826 and 161,522

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Solution

The third proportional to 74,826 and 161,522 is: 348,666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,826 : 161,522 = 161,522 : x
  2. Step 2: Convert to fraction form
    74,826/161,522 = 161,522/x
  3. Step 3: Cross multiply
    74,826x = 161,522 × 161,522
  4. Step 4: Simplify right side
    74,826x = 26,089,356,484
  5. Step 5: Solve for x
    x = 26,089,356,484/74,826
  6. Step 6: Final answer
    x = 348,666.99

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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.