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Finding the Third Proportional to 102,567.75 and 155,266.88

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Solution

The third proportional to 102,567.75 and 155,266.88 is: 235,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,567.75 : 155,266.88 = 155,266.88 : x
  2. Step 2: Convert to fraction form
    102,567.75/155,266.88 = 155,266.88/x
  3. Step 3: Cross multiply
    102,567.75x = 155,266.88 × 155,266.88
  4. Step 4: Simplify right side
    102,567.75x = 24,107,802,472.27
  5. Step 5: Solve for x
    x = 24,107,802,472.27/102,567.75
  6. Step 6: Final answer
    x = 235,042.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.