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Finding the Third Proportional to 59,823.75 and 130,515

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Solution

The third proportional to 59,823.75 and 130,515 is: 284,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,823.75 : 130,515 = 130,515 : x
  2. Step 2: Convert to fraction form
    59,823.75/130,515 = 130,515/x
  3. Step 3: Cross multiply
    59,823.75x = 130,515 × 130,515
  4. Step 4: Simplify right side
    59,823.75x = 17,034,165,225
  5. Step 5: Solve for x
    x = 17,034,165,225/59,823.75
  6. Step 6: Final answer
    x = 284,739.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.