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Finding the Third Proportional to 130,752 and 184,128

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Solution

The third proportional to 130,752 and 184,128 is: 259,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,752 : 184,128 = 184,128 : x
  2. Step 2: Convert to fraction form
    130,752/184,128 = 184,128/x
  3. Step 3: Cross multiply
    130,752x = 184,128 × 184,128
  4. Step 4: Simplify right side
    130,752x = 33,903,120,384
  5. Step 5: Solve for x
    x = 33,903,120,384/130,752
  6. Step 6: Final answer
    x = 259,293.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.