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Finding the Third Proportional to 56,269.69 and 83,971.69

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Solution

The third proportional to 56,269.69 and 83,971.69 is: 125,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,269.69 : 83,971.69 = 83,971.69 : x
  2. Step 2: Convert to fraction form
    56,269.69/83,971.69 = 83,971.69/x
  3. Step 3: Cross multiply
    56,269.69x = 83,971.69 × 83,971.69
  4. Step 4: Simplify right side
    56,269.69x = 7,051,244,301.60
  5. Step 5: Solve for x
    x = 7,051,244,301.60/56,269.69
  6. Step 6: Final answer
    x = 125,311.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.