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Finding the Third Proportional to 108,534 and 235,110

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Solution

The third proportional to 108,534 and 235,110 is: 509,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,534 : 235,110 = 235,110 : x
  2. Step 2: Convert to fraction form
    108,534/235,110 = 235,110/x
  3. Step 3: Cross multiply
    108,534x = 235,110 × 235,110
  4. Step 4: Simplify right side
    108,534x = 55,276,712,100
  5. Step 5: Solve for x
    x = 55,276,712,100/108,534
  6. Step 6: Final answer
    x = 509,303.19

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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.