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Finding the Third Proportional to 56,502 and 121,888

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Solution

The third proportional to 56,502 and 121,888 is: 262,940.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,502 : 121,888 = 121,888 : x
  2. Step 2: Convert to fraction form
    56,502/121,888 = 121,888/x
  3. Step 3: Cross multiply
    56,502x = 121,888 × 121,888
  4. Step 4: Simplify right side
    56,502x = 14,856,684,544
  5. Step 5: Solve for x
    x = 14,856,684,544/56,502
  6. Step 6: Final answer
    x = 262,940.86

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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.