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Finding the Third Proportional to 59,886 and 130,396.50

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Solution

The third proportional to 59,886 and 130,396.50 is: 283,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,886 : 130,396.50 = 130,396.50 : x
  2. Step 2: Convert to fraction form
    59,886/130,396.50 = 130,396.50/x
  3. Step 3: Cross multiply
    59,886x = 130,396.50 × 130,396.50
  4. Step 4: Simplify right side
    59,886x = 17,003,247,212.25
  5. Step 5: Solve for x
    x = 17,003,247,212.25/59,886
  6. Step 6: Final answer
    x = 283,926.91

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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.