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Finding the Third Proportional to 127,073 and 295,443

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Solution

The third proportional to 127,073 and 295,443 is: 686,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,073 : 295,443 = 295,443 : x
  2. Step 2: Convert to fraction form
    127,073/295,443 = 295,443/x
  3. Step 3: Cross multiply
    127,073x = 295,443 × 295,443
  4. Step 4: Simplify right side
    127,073x = 87,286,566,249
  5. Step 5: Solve for x
    x = 87,286,566,249/127,073
  6. Step 6: Final answer
    x = 686,900.96

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.