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Finding the Third Proportional to 127,626 and 272,020

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Solution

The third proportional to 127,626 and 272,020 is: 579,779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,626 : 272,020 = 272,020 : x
  2. Step 2: Convert to fraction form
    127,626/272,020 = 272,020/x
  3. Step 3: Cross multiply
    127,626x = 272,020 × 272,020
  4. Step 4: Simplify right side
    127,626x = 73,994,880,400
  5. Step 5: Solve for x
    x = 73,994,880,400/127,626
  6. Step 6: Final answer
    x = 579,779.05

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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.