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Finding the Third Proportional to 53,004 and 74,292

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Solution

The third proportional to 53,004 and 74,292 is: 104,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,004 : 74,292 = 74,292 : x
  2. Step 2: Convert to fraction form
    53,004/74,292 = 74,292/x
  3. Step 3: Cross multiply
    53,004x = 74,292 × 74,292
  4. Step 4: Simplify right side
    53,004x = 5,519,301,264
  5. Step 5: Solve for x
    x = 5,519,301,264/53,004
  6. Step 6: Final answer
    x = 104,129.90

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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.