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Finding the Third Proportional to 56,036 and 119,558

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Solution

The third proportional to 56,036 and 119,558 is: 255,088.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,036 : 119,558 = 119,558 : x
  2. Step 2: Convert to fraction form
    56,036/119,558 = 119,558/x
  3. Step 3: Cross multiply
    56,036x = 119,558 × 119,558
  4. Step 4: Simplify right side
    56,036x = 14,294,115,364
  5. Step 5: Solve for x
    x = 14,294,115,364/56,036
  6. Step 6: Final answer
    x = 255,088.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.