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Finding the Third Proportional to 53,433.26 and 83,384.83

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Solution

The third proportional to 53,433.26 and 83,384.83 is: 130,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,433.26 : 83,384.83 = 83,384.83 : x
  2. Step 2: Convert to fraction form
    53,433.26/83,384.83 = 83,384.83/x
  3. Step 3: Cross multiply
    53,433.26x = 83,384.83 × 83,384.83
  4. Step 4: Simplify right side
    53,433.26x = 6,953,030,375.74
  5. Step 5: Solve for x
    x = 6,953,030,375.74/53,433.26
  6. Step 6: Final answer
    x = 130,125.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.