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Finding the Third Proportional to 75,502.76 and 105,838.84

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Solution

The third proportional to 75,502.76 and 105,838.84 is: 148,363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,502.76 : 105,838.84 = 105,838.84 : x
  2. Step 2: Convert to fraction form
    75,502.76/105,838.84 = 105,838.84/x
  3. Step 3: Cross multiply
    75,502.76x = 105,838.84 × 105,838.84
  4. Step 4: Simplify right side
    75,502.76x = 11,201,860,019.47
  5. Step 5: Solve for x
    x = 11,201,860,019.47/75,502.76
  6. Step 6: Final answer
    x = 148,363.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.