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Finding the Third Proportional to 56,065 and 122,114

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Solution

The third proportional to 56,065 and 122,114 is: 265,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,065 : 122,114 = 122,114 : x
  2. Step 2: Convert to fraction form
    56,065/122,114 = 122,114/x
  3. Step 3: Cross multiply
    56,065x = 122,114 × 122,114
  4. Step 4: Simplify right side
    56,065x = 14,911,828,996
  5. Step 5: Solve for x
    x = 14,911,828,996/56,065
  6. Step 6: Final answer
    x = 265,973.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.