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Finding the Third Proportional to 127,840 and 200,130

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Solution

The third proportional to 127,840 and 200,130 is: 313,298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,840 : 200,130 = 200,130 : x
  2. Step 2: Convert to fraction form
    127,840/200,130 = 200,130/x
  3. Step 3: Cross multiply
    127,840x = 200,130 × 200,130
  4. Step 4: Simplify right side
    127,840x = 40,052,016,900
  5. Step 5: Solve for x
    x = 40,052,016,900/127,840
  6. Step 6: Final answer
    x = 313,298.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.