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Finding the Third Proportional to 127,070.86 and 267,246.21

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Solution

The third proportional to 127,070.86 and 267,246.21 is: 562,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,070.86 : 267,246.21 = 267,246.21 : x
  2. Step 2: Convert to fraction form
    127,070.86/267,246.21 = 267,246.21/x
  3. Step 3: Cross multiply
    127,070.86x = 267,246.21 × 267,246.21
  4. Step 4: Simplify right side
    127,070.86x = 71,420,537,260.45
  5. Step 5: Solve for x
    x = 71,420,537,260.45/127,070.86
  6. Step 6: Final answer
    x = 562,052.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.