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Finding the Third Proportional to 108,505 and 235,053

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Solution

The third proportional to 108,505 and 235,053 is: 509,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,505 : 235,053 = 235,053 : x
  2. Step 2: Convert to fraction form
    108,505/235,053 = 235,053/x
  3. Step 3: Cross multiply
    108,505x = 235,053 × 235,053
  4. Step 4: Simplify right side
    108,505x = 55,249,912,809
  5. Step 5: Solve for x
    x = 55,249,912,809/108,505
  6. Step 6: Final answer
    x = 509,192.32

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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.