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Finding the Third Proportional to 26,506 and 56,168

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Solution

The third proportional to 26,506 and 56,168 is: 119,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,506 : 56,168 = 56,168 : x
  2. Step 2: Convert to fraction form
    26,506/56,168 = 56,168/x
  3. Step 3: Cross multiply
    26,506x = 56,168 × 56,168
  4. Step 4: Simplify right side
    26,506x = 3,154,844,224
  5. Step 5: Solve for x
    x = 3,154,844,224/26,506
  6. Step 6: Final answer
    x = 119,023.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.