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Finding the Third Proportional to 127,658 and 272,692

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Solution

The third proportional to 127,658 and 272,692 is: 582,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,658 : 272,692 = 272,692 : x
  2. Step 2: Convert to fraction form
    127,658/272,692 = 272,692/x
  3. Step 3: Cross multiply
    127,658x = 272,692 × 272,692
  4. Step 4: Simplify right side
    127,658x = 74,360,926,864
  5. Step 5: Solve for x
    x = 74,360,926,864/127,658
  6. Step 6: Final answer
    x = 582,501.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.