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Finding the Third Proportional to 74,082 and 105,862

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Solution

The third proportional to 74,082 and 105,862 is: 151,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,082 : 105,862 = 105,862 : x
  2. Step 2: Convert to fraction form
    74,082/105,862 = 105,862/x
  3. Step 3: Cross multiply
    74,082x = 105,862 × 105,862
  4. Step 4: Simplify right side
    74,082x = 11,206,763,044
  5. Step 5: Solve for x
    x = 11,206,763,044/74,082
  6. Step 6: Final answer
    x = 151,275.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.