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Finding the Third Proportional to 56,302 and 122,340

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Solution

The third proportional to 56,302 and 122,340 is: 265,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,302 : 122,340 = 122,340 : x
  2. Step 2: Convert to fraction form
    56,302/122,340 = 122,340/x
  3. Step 3: Cross multiply
    56,302x = 122,340 × 122,340
  4. Step 4: Simplify right side
    56,302x = 14,967,075,600
  5. Step 5: Solve for x
    x = 14,967,075,600/56,302
  6. Step 6: Final answer
    x = 265,835.59

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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.