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Finding the Third Proportional to 108,824 and 159,509

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Solution

The third proportional to 108,824 and 159,509 is: 233,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,824 : 159,509 = 159,509 : x
  2. Step 2: Convert to fraction form
    108,824/159,509 = 159,509/x
  3. Step 3: Cross multiply
    108,824x = 159,509 × 159,509
  4. Step 4: Simplify right side
    108,824x = 25,443,121,081
  5. Step 5: Solve for x
    x = 25,443,121,081/108,824
  6. Step 6: Final answer
    x = 233,800.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.