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Finding the Third Proportional to 53,865 and 72,459.56

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Solution

The third proportional to 53,865 and 72,459.56 is: 97,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,865 : 72,459.56 = 72,459.56 : x
  2. Step 2: Convert to fraction form
    53,865/72,459.56 = 72,459.56/x
  3. Step 3: Cross multiply
    53,865x = 72,459.56 × 72,459.56
  4. Step 4: Simplify right side
    53,865x = 5,250,388,197.69
  5. Step 5: Solve for x
    x = 5,250,388,197.69/53,865
  6. Step 6: Final answer
    x = 97,473.09

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.