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Finding the Third Proportional to 60,726 and 131,820

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Solution

The third proportional to 60,726 and 131,820 is: 286,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,726 : 131,820 = 131,820 : x
  2. Step 2: Convert to fraction form
    60,726/131,820 = 131,820/x
  3. Step 3: Cross multiply
    60,726x = 131,820 × 131,820
  4. Step 4: Simplify right side
    60,726x = 17,376,512,400
  5. Step 5: Solve for x
    x = 17,376,512,400/60,726
  6. Step 6: Final answer
    x = 286,146.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.