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Finding the Third Proportional to 67,309 and 146,842

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Solution

The third proportional to 67,309 and 146,842 is: 320,352.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,309 : 146,842 = 146,842 : x
  2. Step 2: Convert to fraction form
    67,309/146,842 = 146,842/x
  3. Step 3: Cross multiply
    67,309x = 146,842 × 146,842
  4. Step 4: Simplify right side
    67,309x = 21,562,572,964
  5. Step 5: Solve for x
    x = 21,562,572,964/67,309
  6. Step 6: Final answer
    x = 320,352.00

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.