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Finding the Third Proportional to 75,502.76 and 90,675.07

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Solution

The third proportional to 75,502.76 and 90,675.07 is: 108,896.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,502.76 : 90,675.07 = 90,675.07 : x
  2. Step 2: Convert to fraction form
    75,502.76/90,675.07 = 90,675.07/x
  3. Step 3: Cross multiply
    75,502.76x = 90,675.07 × 90,675.07
  4. Step 4: Simplify right side
    75,502.76x = 8,221,968,376.18
  5. Step 5: Solve for x
    x = 8,221,968,376.18/75,502.76
  6. Step 6: Final answer
    x = 108,896.27

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.