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Finding the Third Proportional to 59,095 and 86,914

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Solution

The third proportional to 59,095 and 86,914 is: 127,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,095 : 86,914 = 86,914 : x
  2. Step 2: Convert to fraction form
    59,095/86,914 = 86,914/x
  3. Step 3: Cross multiply
    59,095x = 86,914 × 86,914
  4. Step 4: Simplify right side
    59,095x = 7,554,043,396
  5. Step 5: Solve for x
    x = 7,554,043,396/59,095
  6. Step 6: Final answer
    x = 127,828.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.