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Finding the Third Proportional to 58,197.75 and 87,783

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Solution

The third proportional to 58,197.75 and 87,783 is: 132,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,197.75 : 87,783 = 87,783 : x
  2. Step 2: Convert to fraction form
    58,197.75/87,783 = 87,783/x
  3. Step 3: Cross multiply
    58,197.75x = 87,783 × 87,783
  4. Step 4: Simplify right side
    58,197.75x = 7,705,855,089
  5. Step 5: Solve for x
    x = 7,705,855,089/58,197.75
  6. Step 6: Final answer
    x = 132,408.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.