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Finding the Third Proportional to 108,085 and 153,969.13

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Solution

The third proportional to 108,085 and 153,969.13 is: 219,331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,085 : 153,969.13 = 153,969.13 : x
  2. Step 2: Convert to fraction form
    108,085/153,969.13 = 153,969.13/x
  3. Step 3: Cross multiply
    108,085x = 153,969.13 × 153,969.13
  4. Step 4: Simplify right side
    108,085x = 23,706,491,453.27
  5. Step 5: Solve for x
    x = 23,706,491,453.27/108,085
  6. Step 6: Final answer
    x = 219,331.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.