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Finding the Third Proportional to 58,773 and 86,923

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Solution

The third proportional to 58,773 and 86,923 is: 128,555.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,773 : 86,923 = 86,923 : x
  2. Step 2: Convert to fraction form
    58,773/86,923 = 86,923/x
  3. Step 3: Cross multiply
    58,773x = 86,923 × 86,923
  4. Step 4: Simplify right side
    58,773x = 7,555,607,929
  5. Step 5: Solve for x
    x = 7,555,607,929/58,773
  6. Step 6: Final answer
    x = 128,555.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.