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Finding the Third Proportional to 75,696 and 114,596

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Solution

The third proportional to 75,696 and 114,596 is: 173,486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,696 : 114,596 = 114,596 : x
  2. Step 2: Convert to fraction form
    75,696/114,596 = 114,596/x
  3. Step 3: Cross multiply
    75,696x = 114,596 × 114,596
  4. Step 4: Simplify right side
    75,696x = 13,132,243,216
  5. Step 5: Solve for x
    x = 13,132,243,216/75,696
  6. Step 6: Final answer
    x = 173,486.62

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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.