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Finding the Third Proportional to 74,922 and 160,506

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Solution

The third proportional to 74,922 and 160,506 is: 343,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,922 : 160,506 = 160,506 : x
  2. Step 2: Convert to fraction form
    74,922/160,506 = 160,506/x
  3. Step 3: Cross multiply
    74,922x = 160,506 × 160,506
  4. Step 4: Simplify right side
    74,922x = 25,762,176,036
  5. Step 5: Solve for x
    x = 25,762,176,036/74,922
  6. Step 6: Final answer
    x = 343,853.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.