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Finding the Third Proportional to 53,006 and 74,301

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Solution

The third proportional to 53,006 and 74,301 is: 104,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,006 : 74,301 = 74,301 : x
  2. Step 2: Convert to fraction form
    53,006/74,301 = 74,301/x
  3. Step 3: Cross multiply
    53,006x = 74,301 × 74,301
  4. Step 4: Simplify right side
    53,006x = 5,520,638,601
  5. Step 5: Solve for x
    x = 5,520,638,601/53,006
  6. Step 6: Final answer
    x = 104,151.20

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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.