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Finding the Third Proportional to 56,796 and 117,289.50

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Solution

The third proportional to 56,796 and 117,289.50 is: 242,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,796 : 117,289.50 = 117,289.50 : x
  2. Step 2: Convert to fraction form
    56,796/117,289.50 = 117,289.50/x
  3. Step 3: Cross multiply
    56,796x = 117,289.50 × 117,289.50
  4. Step 4: Simplify right side
    56,796x = 13,756,826,810.25
  5. Step 5: Solve for x
    x = 13,756,826,810.25/56,796
  6. Step 6: Final answer
    x = 242,214.71

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.