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Finding the Third Proportional to 115,324 and 147,360

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Solution

The third proportional to 115,324 and 147,360 is: 188,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,324 : 147,360 = 147,360 : x
  2. Step 2: Convert to fraction form
    115,324/147,360 = 147,360/x
  3. Step 3: Cross multiply
    115,324x = 147,360 × 147,360
  4. Step 4: Simplify right side
    115,324x = 21,714,969,600
  5. Step 5: Solve for x
    x = 21,714,969,600/115,324
  6. Step 6: Final answer
    x = 188,295.32

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.