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Finding the Third Proportional to 108,786 and 158,445

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Solution

The third proportional to 108,786 and 158,445 is: 230,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,786 : 158,445 = 158,445 : x
  2. Step 2: Convert to fraction form
    108,786/158,445 = 158,445/x
  3. Step 3: Cross multiply
    108,786x = 158,445 × 158,445
  4. Step 4: Simplify right side
    108,786x = 25,104,818,025
  5. Step 5: Solve for x
    x = 25,104,818,025/108,786
  6. Step 6: Final answer
    x = 230,772.51

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.