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Finding the Third Proportional to 60,109 and 88,462

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Solution

The third proportional to 60,109 and 88,462 is: 130,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,109 : 88,462 = 88,462 : x
  2. Step 2: Convert to fraction form
    60,109/88,462 = 88,462/x
  3. Step 3: Cross multiply
    60,109x = 88,462 × 88,462
  4. Step 4: Simplify right side
    60,109x = 7,825,525,444
  5. Step 5: Solve for x
    x = 7,825,525,444/60,109
  6. Step 6: Final answer
    x = 130,188.91

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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.