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Finding the Third Proportional to 106,030 and 162,442

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Solution

The third proportional to 106,030 and 162,442 is: 248,867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,030 : 162,442 = 162,442 : x
  2. Step 2: Convert to fraction form
    106,030/162,442 = 162,442/x
  3. Step 3: Cross multiply
    106,030x = 162,442 × 162,442
  4. Step 4: Simplify right side
    106,030x = 26,387,403,364
  5. Step 5: Solve for x
    x = 26,387,403,364/106,030
  6. Step 6: Final answer
    x = 248,867.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.