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Finding the Third Proportional to 115,946 and 165,360

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Solution

The third proportional to 115,946 and 165,360 is: 235,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,946 : 165,360 = 165,360 : x
  2. Step 2: Convert to fraction form
    115,946/165,360 = 165,360/x
  3. Step 3: Cross multiply
    115,946x = 165,360 × 165,360
  4. Step 4: Simplify right side
    115,946x = 27,343,929,600
  5. Step 5: Solve for x
    x = 27,343,929,600/115,946
  6. Step 6: Final answer
    x = 235,833.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.