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Finding the Third Proportional to 26,020 and 56,152

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Solution

The third proportional to 26,020 and 56,152 is: 121,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,020 : 56,152 = 56,152 : x
  2. Step 2: Convert to fraction form
    26,020/56,152 = 56,152/x
  3. Step 3: Cross multiply
    26,020x = 56,152 × 56,152
  4. Step 4: Simplify right side
    26,020x = 3,153,047,104
  5. Step 5: Solve for x
    x = 3,153,047,104/26,020
  6. Step 6: Final answer
    x = 121,177.83

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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.