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Finding the Third Proportional to 58,771.75 and 88,301

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Solution

The third proportional to 58,771.75 and 88,301 is: 132,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,771.75 : 88,301 = 88,301 : x
  2. Step 2: Convert to fraction form
    58,771.75/88,301 = 88,301/x
  3. Step 3: Cross multiply
    58,771.75x = 88,301 × 88,301
  4. Step 4: Simplify right side
    58,771.75x = 7,797,066,601
  5. Step 5: Solve for x
    x = 7,797,066,601/58,771.75
  6. Step 6: Final answer
    x = 132,666.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.