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Finding the Third Proportional to 72,582.75 and 114,057.75

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Solution

The third proportional to 72,582.75 and 114,057.75 is: 179,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,582.75 : 114,057.75 = 114,057.75 : x
  2. Step 2: Convert to fraction form
    72,582.75/114,057.75 = 114,057.75/x
  3. Step 3: Cross multiply
    72,582.75x = 114,057.75 × 114,057.75
  4. Step 4: Simplify right side
    72,582.75x = 13,009,170,335.06
  5. Step 5: Solve for x
    x = 13,009,170,335.06/72,582.75
  6. Step 6: Final answer
    x = 179,232.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.