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Finding the Third Proportional to 28,178 and 60,820

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Solution

The third proportional to 28,178 and 60,820 is: 131,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,178 : 60,820 = 60,820 : x
  2. Step 2: Convert to fraction form
    28,178/60,820 = 60,820/x
  3. Step 3: Cross multiply
    28,178x = 60,820 × 60,820
  4. Step 4: Simplify right side
    28,178x = 3,699,072,400
  5. Step 5: Solve for x
    x = 3,699,072,400/28,178
  6. Step 6: Final answer
    x = 131,275.19

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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.