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Finding the Third Proportional to 127,014.75 and 262,615.50

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Solution

The third proportional to 127,014.75 and 262,615.50 is: 542,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,014.75 : 262,615.50 = 262,615.50 : x
  2. Step 2: Convert to fraction form
    127,014.75/262,615.50 = 262,615.50/x
  3. Step 3: Cross multiply
    127,014.75x = 262,615.50 × 262,615.50
  4. Step 4: Simplify right side
    127,014.75x = 68,966,900,840.25
  5. Step 5: Solve for x
    x = 68,966,900,840.25/127,014.75
  6. Step 6: Final answer
    x = 542,983.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.