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Finding the Third Proportional to 108,121.50 and 234,495

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Solution

The third proportional to 108,121.50 and 234,495 is: 508,575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,121.50 : 234,495 = 234,495 : x
  2. Step 2: Convert to fraction form
    108,121.50/234,495 = 234,495/x
  3. Step 3: Cross multiply
    108,121.50x = 234,495 × 234,495
  4. Step 4: Simplify right side
    108,121.50x = 54,987,905,025
  5. Step 5: Solve for x
    x = 54,987,905,025/108,121.50
  6. Step 6: Final answer
    x = 508,575.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.