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Finding the Third Proportional to 59,645.25 and 130,212

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Solution

The third proportional to 59,645.25 and 130,212 is: 284,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,645.25 : 130,212 = 130,212 : x
  2. Step 2: Convert to fraction form
    59,645.25/130,212 = 130,212/x
  3. Step 3: Cross multiply
    59,645.25x = 130,212 × 130,212
  4. Step 4: Simplify right side
    59,645.25x = 16,955,164,944
  5. Step 5: Solve for x
    x = 16,955,164,944/59,645.25
  6. Step 6: Final answer
    x = 284,266.81

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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.