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Finding the Third Proportional to 59,793.75 and 130,097.25

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Solution

The third proportional to 59,793.75 and 130,097.25 is: 283,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,793.75 : 130,097.25 = 130,097.25 : x
  2. Step 2: Convert to fraction form
    59,793.75/130,097.25 = 130,097.25/x
  3. Step 3: Cross multiply
    59,793.75x = 130,097.25 × 130,097.25
  4. Step 4: Simplify right side
    59,793.75x = 16,925,294,457.56
  5. Step 5: Solve for x
    x = 16,925,294,457.56/59,793.75
  6. Step 6: Final answer
    x = 283,061.26

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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.