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Finding the Third Proportional to 127,053 and 270,999

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Solution

The third proportional to 127,053 and 270,999 is: 578,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,053 : 270,999 = 270,999 : x
  2. Step 2: Convert to fraction form
    127,053/270,999 = 270,999/x
  3. Step 3: Cross multiply
    127,053x = 270,999 × 270,999
  4. Step 4: Simplify right side
    127,053x = 73,440,458,001
  5. Step 5: Solve for x
    x = 73,440,458,001/127,053
  6. Step 6: Final answer
    x = 578,030.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.