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Finding the Third Proportional to 26,062 and 56,176

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Solution

The third proportional to 26,062 and 56,176 is: 121,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,062 : 56,176 = 56,176 : x
  2. Step 2: Convert to fraction form
    26,062/56,176 = 56,176/x
  3. Step 3: Cross multiply
    26,062x = 56,176 × 56,176
  4. Step 4: Simplify right side
    26,062x = 3,155,742,976
  5. Step 5: Solve for x
    x = 3,155,742,976/26,062
  6. Step 6: Final answer
    x = 121,085.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.