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Finding the Third Proportional to 59,719 and 86,329

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Solution

The third proportional to 59,719 and 86,329 is: 124,796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,719 : 86,329 = 86,329 : x
  2. Step 2: Convert to fraction form
    59,719/86,329 = 86,329/x
  3. Step 3: Cross multiply
    59,719x = 86,329 × 86,329
  4. Step 4: Simplify right side
    59,719x = 7,452,696,241
  5. Step 5: Solve for x
    x = 7,452,696,241/59,719
  6. Step 6: Final answer
    x = 124,796.07

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.