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Finding the Third Proportional to 130,497.75 and 173,512.13

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Solution

The third proportional to 130,497.75 and 173,512.13 is: 230,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,497.75 : 173,512.13 = 173,512.13 : x
  2. Step 2: Convert to fraction form
    130,497.75/173,512.13 = 173,512.13/x
  3. Step 3: Cross multiply
    130,497.75x = 173,512.13 × 173,512.13
  4. Step 4: Simplify right side
    130,497.75x = 30,106,457,522.02
  5. Step 5: Solve for x
    x = 30,106,457,522.02/130,497.75
  6. Step 6: Final answer
    x = 230,704.80

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.