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Finding the Third Proportional to 108,828 and 159,516

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Solution

The third proportional to 108,828 and 159,516 is: 233,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,828 : 159,516 = 159,516 : x
  2. Step 2: Convert to fraction form
    108,828/159,516 = 159,516/x
  3. Step 3: Cross multiply
    108,828x = 159,516 × 159,516
  4. Step 4: Simplify right side
    108,828x = 25,445,354,256
  5. Step 5: Solve for x
    x = 25,445,354,256/108,828
  6. Step 6: Final answer
    x = 233,812.57

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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.