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Finding the Third Proportional to 59,055.75 and 128,783.25

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Solution

The third proportional to 59,055.75 and 128,783.25 is: 280,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,055.75 : 128,783.25 = 128,783.25 : x
  2. Step 2: Convert to fraction form
    59,055.75/128,783.25 = 128,783.25/x
  3. Step 3: Cross multiply
    59,055.75x = 128,783.25 × 128,783.25
  4. Step 4: Simplify right side
    59,055.75x = 16,585,125,480.56
  5. Step 5: Solve for x
    x = 16,585,125,480.56/59,055.75
  6. Step 6: Final answer
    x = 280,838.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.