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Finding the Third Proportional to 53,464.03 and 83,262.98

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Solution

The third proportional to 53,464.03 and 83,262.98 is: 129,670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,464.03 : 83,262.98 = 83,262.98 : x
  2. Step 2: Convert to fraction form
    53,464.03/83,262.98 = 83,262.98/x
  3. Step 3: Cross multiply
    53,464.03x = 83,262.98 × 83,262.98
  4. Step 4: Simplify right side
    53,464.03x = 6,932,723,347.36
  5. Step 5: Solve for x
    x = 6,932,723,347.36/53,464.03
  6. Step 6: Final answer
    x = 129,670.79

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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.