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Finding the Third Proportional to 127,818 and 272,028

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Solution

The third proportional to 127,818 and 272,028 is: 578,942.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,818 : 272,028 = 272,028 : x
  2. Step 2: Convert to fraction form
    127,818/272,028 = 272,028/x
  3. Step 3: Cross multiply
    127,818x = 272,028 × 272,028
  4. Step 4: Simplify right side
    127,818x = 73,999,232,784
  5. Step 5: Solve for x
    x = 73,999,232,784/127,818
  6. Step 6: Final answer
    x = 578,942.19

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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.