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Finding the Third Proportional to 56,484 and 122,266.50

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Solution

The third proportional to 56,484 and 122,266.50 is: 264,660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,484 : 122,266.50 = 122,266.50 : x
  2. Step 2: Convert to fraction form
    56,484/122,266.50 = 122,266.50/x
  3. Step 3: Cross multiply
    56,484x = 122,266.50 × 122,266.50
  4. Step 4: Simplify right side
    56,484x = 14,949,097,022.25
  5. Step 5: Solve for x
    x = 14,949,097,022.25/56,484
  6. Step 6: Final answer
    x = 264,660.74

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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.