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Finding the Third Proportional to 59,618.53 and 83,554.03

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Solution

The third proportional to 59,618.53 and 83,554.03 is: 117,099.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,618.53 : 83,554.03 = 83,554.03 : x
  2. Step 2: Convert to fraction form
    59,618.53/83,554.03 = 83,554.03/x
  3. Step 3: Cross multiply
    59,618.53x = 83,554.03 × 83,554.03
  4. Step 4: Simplify right side
    59,618.53x = 6,981,276,138.13
  5. Step 5: Solve for x
    x = 6,981,276,138.13/59,618.53
  6. Step 6: Final answer
    x = 117,099.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.