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Finding the Third Proportional to 53,082 and 74,403

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Solution

The third proportional to 53,082 and 74,403 is: 104,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,082 : 74,403 = 74,403 : x
  2. Step 2: Convert to fraction form
    53,082/74,403 = 74,403/x
  3. Step 3: Cross multiply
    53,082x = 74,403 × 74,403
  4. Step 4: Simplify right side
    53,082x = 5,535,806,409
  5. Step 5: Solve for x
    x = 5,535,806,409/53,082
  6. Step 6: Final answer
    x = 104,287.83

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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.