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Finding the Third Proportional to 59,483.81 and 128,768.06

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Solution

The third proportional to 59,483.81 and 128,768.06 is: 278,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,483.81 : 128,768.06 = 128,768.06 : x
  2. Step 2: Convert to fraction form
    59,483.81/128,768.06 = 128,768.06/x
  3. Step 3: Cross multiply
    59,483.81x = 128,768.06 × 128,768.06
  4. Step 4: Simplify right side
    59,483.81x = 16,581,213,920.00
  5. Step 5: Solve for x
    x = 16,581,213,920.00/59,483.81
  6. Step 6: Final answer
    x = 278,751.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.