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Finding the Third Proportional to 74,838 and 160,053

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Solution

The third proportional to 74,838 and 160,053 is: 342,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,838 : 160,053 = 160,053 : x
  2. Step 2: Convert to fraction form
    74,838/160,053 = 160,053/x
  3. Step 3: Cross multiply
    74,838x = 160,053 × 160,053
  4. Step 4: Simplify right side
    74,838x = 25,616,962,809
  5. Step 5: Solve for x
    x = 25,616,962,809/74,838
  6. Step 6: Final answer
    x = 342,298.87

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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.