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Finding the Third Proportional to 108,030.75 and 171,022.13

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Solution

The third proportional to 108,030.75 and 171,022.13 is: 270,742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,030.75 : 171,022.13 = 171,022.13 : x
  2. Step 2: Convert to fraction form
    108,030.75/171,022.13 = 171,022.13/x
  3. Step 3: Cross multiply
    108,030.75x = 171,022.13 × 171,022.13
  4. Step 4: Simplify right side
    108,030.75x = 29,248,567,239.52
  5. Step 5: Solve for x
    x = 29,248,567,239.52/108,030.75
  6. Step 6: Final answer
    x = 270,742.98

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.