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Finding the Third Proportional to 108,818 and 159,501

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Solution

The third proportional to 108,818 and 159,501 is: 233,790.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,818 : 159,501 = 159,501 : x
  2. Step 2: Convert to fraction form
    108,818/159,501 = 159,501/x
  3. Step 3: Cross multiply
    108,818x = 159,501 × 159,501
  4. Step 4: Simplify right side
    108,818x = 25,440,569,001
  5. Step 5: Solve for x
    x = 25,440,569,001/108,818
  6. Step 6: Final answer
    x = 233,790.08

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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.