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Finding the Third Proportional to 59,914 and 130,398

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Solution

The third proportional to 59,914 and 130,398 is: 283,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,914 : 130,398 = 130,398 : x
  2. Step 2: Convert to fraction form
    59,914/130,398 = 130,398/x
  3. Step 3: Cross multiply
    59,914x = 130,398 × 130,398
  4. Step 4: Simplify right side
    59,914x = 17,003,638,404
  5. Step 5: Solve for x
    x = 17,003,638,404/59,914
  6. Step 6: Final answer
    x = 283,800.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.