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Finding the Third Proportional to 127,152 and 276,154

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Solution

The third proportional to 127,152 and 276,154 is: 599,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,152 : 276,154 = 276,154 : x
  2. Step 2: Convert to fraction form
    127,152/276,154 = 276,154/x
  3. Step 3: Cross multiply
    127,152x = 276,154 × 276,154
  4. Step 4: Simplify right side
    127,152x = 76,261,031,716
  5. Step 5: Solve for x
    x = 76,261,031,716/127,152
  6. Step 6: Final answer
    x = 599,762.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.