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Finding the Third Proportional to 56,466 and 122,237

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Solution

The third proportional to 56,466 and 122,237 is: 264,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,466 : 122,237 = 122,237 : x
  2. Step 2: Convert to fraction form
    56,466/122,237 = 122,237/x
  3. Step 3: Cross multiply
    56,466x = 122,237 × 122,237
  4. Step 4: Simplify right side
    56,466x = 14,941,884,169
  5. Step 5: Solve for x
    x = 14,941,884,169/56,466
  6. Step 6: Final answer
    x = 264,617.37

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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.