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Finding the Third Proportional to 74,931.96 and 161,858.74

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Solution

The third proportional to 74,931.96 and 161,858.74 is: 349,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,931.96 : 161,858.74 = 161,858.74 : x
  2. Step 2: Convert to fraction form
    74,931.96/161,858.74 = 161,858.74/x
  3. Step 3: Cross multiply
    74,931.96x = 161,858.74 × 161,858.74
  4. Step 4: Simplify right side
    74,931.96x = 26,198,252,422.52
  5. Step 5: Solve for x
    x = 26,198,252,422.52/74,931.96
  6. Step 6: Final answer
    x = 349,627.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.