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Finding the Third Proportional to 105,023 and 161,427

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Solution

The third proportional to 105,023 and 161,427 is: 248,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,023 : 161,427 = 161,427 : x
  2. Step 2: Convert to fraction form
    105,023/161,427 = 161,427/x
  3. Step 3: Cross multiply
    105,023x = 161,427 × 161,427
  4. Step 4: Simplify right side
    105,023x = 26,058,676,329
  5. Step 5: Solve for x
    x = 26,058,676,329/105,023
  6. Step 6: Final answer
    x = 248,123.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.