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Finding the Third Proportional to 109,752 and 164,160

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Solution

The third proportional to 109,752 and 164,160 is: 245,540.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,752 : 164,160 = 164,160 : x
  2. Step 2: Convert to fraction form
    109,752/164,160 = 164,160/x
  3. Step 3: Cross multiply
    109,752x = 164,160 × 164,160
  4. Step 4: Simplify right side
    109,752x = 26,948,505,600
  5. Step 5: Solve for x
    x = 26,948,505,600/109,752
  6. Step 6: Final answer
    x = 245,540.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.