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Finding the Third Proportional to 127,036 and 178,410

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Solution

The third proportional to 127,036 and 178,410 is: 250,559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,036 : 178,410 = 178,410 : x
  2. Step 2: Convert to fraction form
    127,036/178,410 = 178,410/x
  3. Step 3: Cross multiply
    127,036x = 178,410 × 178,410
  4. Step 4: Simplify right side
    127,036x = 31,830,128,100
  5. Step 5: Solve for x
    x = 31,830,128,100/127,036
  6. Step 6: Final answer
    x = 250,559.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.