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Finding the Third Proportional to 53,703 and 82,984.50

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Solution

The third proportional to 53,703 and 82,984.50 is: 128,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,703 : 82,984.50 = 82,984.50 : x
  2. Step 2: Convert to fraction form
    53,703/82,984.50 = 82,984.50/x
  3. Step 3: Cross multiply
    53,703x = 82,984.50 × 82,984.50
  4. Step 4: Simplify right side
    53,703x = 6,886,427,240.25
  5. Step 5: Solve for x
    x = 6,886,427,240.25/53,703
  6. Step 6: Final answer
    x = 128,231.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.