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Finding the Third Proportional to 59,189.50 and 130,043

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Solution

The third proportional to 59,189.50 and 130,043 is: 285,712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,189.50 : 130,043 = 130,043 : x
  2. Step 2: Convert to fraction form
    59,189.50/130,043 = 130,043/x
  3. Step 3: Cross multiply
    59,189.50x = 130,043 × 130,043
  4. Step 4: Simplify right side
    59,189.50x = 16,911,181,849
  5. Step 5: Solve for x
    x = 16,911,181,849/59,189.50
  6. Step 6: Final answer
    x = 285,712.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.