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Finding the Third Proportional to 58,470.75 and 128,448.75

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Solution

The third proportional to 58,470.75 and 128,448.75 is: 282,176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,470.75 : 128,448.75 = 128,448.75 : x
  2. Step 2: Convert to fraction form
    58,470.75/128,448.75 = 128,448.75/x
  3. Step 3: Cross multiply
    58,470.75x = 128,448.75 × 128,448.75
  4. Step 4: Simplify right side
    58,470.75x = 16,499,081,376.56
  5. Step 5: Solve for x
    x = 16,499,081,376.56/58,470.75
  6. Step 6: Final answer
    x = 282,176.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.