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Finding the Third Proportional to 59,071.88 and 129,626.06

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Solution

The third proportional to 59,071.88 and 129,626.06 is: 284,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,071.88 : 129,626.06 = 129,626.06 : x
  2. Step 2: Convert to fraction form
    59,071.88/129,626.06 = 129,626.06/x
  3. Step 3: Cross multiply
    59,071.88x = 129,626.06 × 129,626.06
  4. Step 4: Simplify right side
    59,071.88x = 16,802,916,079.25
  5. Step 5: Solve for x
    x = 16,802,916,079.25/59,071.88
  6. Step 6: Final answer
    x = 284,448.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.