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Finding the Third Proportional to 56,974 and 127,070

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Solution

The third proportional to 56,974 and 127,070 is: 283,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,974 : 127,070 = 127,070 : x
  2. Step 2: Convert to fraction form
    56,974/127,070 = 127,070/x
  3. Step 3: Cross multiply
    56,974x = 127,070 × 127,070
  4. Step 4: Simplify right side
    56,974x = 16,146,784,900
  5. Step 5: Solve for x
    x = 16,146,784,900/56,974
  6. Step 6: Final answer
    x = 283,406.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.