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Finding the Third Proportional to 74,454.19 and 162,030.38

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Solution

The third proportional to 74,454.19 and 162,030.38 is: 352,617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,454.19 : 162,030.38 = 162,030.38 : x
  2. Step 2: Convert to fraction form
    74,454.19/162,030.38 = 162,030.38/x
  3. Step 3: Cross multiply
    74,454.19x = 162,030.38 × 162,030.38
  4. Step 4: Simplify right side
    74,454.19x = 26,253,842,422.64
  5. Step 5: Solve for x
    x = 26,253,842,422.64/74,454.19
  6. Step 6: Final answer
    x = 352,617.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.