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Finding the Third Proportional to 124,742 and 272,056

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Solution

The third proportional to 124,742 and 272,056 is: 593,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,742 : 272,056 = 272,056 : x
  2. Step 2: Convert to fraction form
    124,742/272,056 = 272,056/x
  3. Step 3: Cross multiply
    124,742x = 272,056 × 272,056
  4. Step 4: Simplify right side
    124,742x = 74,014,467,136
  5. Step 5: Solve for x
    x = 74,014,467,136/124,742
  6. Step 6: Final answer
    x = 593,340.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.