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Finding the Third Proportional to 159,127 and 212,440

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Solution

The third proportional to 159,127 and 212,440 is: 283,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,127 : 212,440 = 212,440 : x
  2. Step 2: Convert to fraction form
    159,127/212,440 = 212,440/x
  3. Step 3: Cross multiply
    159,127x = 212,440 × 212,440
  4. Step 4: Simplify right side
    159,127x = 45,130,753,600
  5. Step 5: Solve for x
    x = 45,130,753,600/159,127
  6. Step 6: Final answer
    x = 283,614.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.