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Finding the Third Proportional to 108,871.75 and 160,103.94

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Solution

The third proportional to 108,871.75 and 160,103.94 is: 235,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,871.75 : 160,103.94 = 160,103.94 : x
  2. Step 2: Convert to fraction form
    108,871.75/160,103.94 = 160,103.94/x
  3. Step 3: Cross multiply
    108,871.75x = 160,103.94 × 160,103.94
  4. Step 4: Simplify right side
    108,871.75x = 25,633,270,803.00
  5. Step 5: Solve for x
    x = 25,633,270,803.00/108,871.75
  6. Step 6: Final answer
    x = 235,444.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.