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Finding the Third Proportional to 108,752 and 239,574

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Solution

The third proportional to 108,752 and 239,574 is: 527,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,752 : 239,574 = 239,574 : x
  2. Step 2: Convert to fraction form
    108,752/239,574 = 239,574/x
  3. Step 3: Cross multiply
    108,752x = 239,574 × 239,574
  4. Step 4: Simplify right side
    108,752x = 57,395,701,476
  5. Step 5: Solve for x
    x = 57,395,701,476/108,752
  6. Step 6: Final answer
    x = 527,766.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.