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Finding the Third Proportional to 127,289.50 and 265,037

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Solution

The third proportional to 127,289.50 and 265,037 is: 551,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,289.50 : 265,037 = 265,037 : x
  2. Step 2: Convert to fraction form
    127,289.50/265,037 = 265,037/x
  3. Step 3: Cross multiply
    127,289.50x = 265,037 × 265,037
  4. Step 4: Simplify right side
    127,289.50x = 70,244,611,369
  5. Step 5: Solve for x
    x = 70,244,611,369/127,289.50
  6. Step 6: Final answer
    x = 551,849.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.