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Finding the Third Proportional to 58,062.75 and 81,765.75

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Solution

The third proportional to 58,062.75 and 81,765.75 is: 115,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,062.75 : 81,765.75 = 81,765.75 : x
  2. Step 2: Convert to fraction form
    58,062.75/81,765.75 = 81,765.75/x
  3. Step 3: Cross multiply
    58,062.75x = 81,765.75 × 81,765.75
  4. Step 4: Simplify right side
    58,062.75x = 6,685,637,873.06
  5. Step 5: Solve for x
    x = 6,685,637,873.06/58,062.75
  6. Step 6: Final answer
    x = 115,145.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.