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Finding the Third Proportional to 53,014 and 74,306

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Solution

The third proportional to 53,014 and 74,306 is: 104,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,014 : 74,306 = 74,306 : x
  2. Step 2: Convert to fraction form
    53,014/74,306 = 74,306/x
  3. Step 3: Cross multiply
    53,014x = 74,306 × 74,306
  4. Step 4: Simplify right side
    53,014x = 5,521,381,636
  5. Step 5: Solve for x
    x = 5,521,381,636/53,014
  6. Step 6: Final answer
    x = 104,149.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.