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Finding the Third Proportional to 127,200 and 190,752

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Solution

The third proportional to 127,200 and 190,752 is: 286,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,200 : 190,752 = 190,752 : x
  2. Step 2: Convert to fraction form
    127,200/190,752 = 190,752/x
  3. Step 3: Cross multiply
    127,200x = 190,752 × 190,752
  4. Step 4: Simplify right side
    127,200x = 36,386,325,504
  5. Step 5: Solve for x
    x = 36,386,325,504/127,200
  6. Step 6: Final answer
    x = 286,056.02

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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.