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Finding the Third Proportional to 127,248 and 190,794

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Solution

The third proportional to 127,248 and 190,794 is: 286,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,248 : 190,794 = 190,794 : x
  2. Step 2: Convert to fraction form
    127,248/190,794 = 190,794/x
  3. Step 3: Cross multiply
    127,248x = 190,794 × 190,794
  4. Step 4: Simplify right side
    127,248x = 36,402,350,436
  5. Step 5: Solve for x
    x = 36,402,350,436/127,248
  6. Step 6: Final answer
    x = 286,074.05

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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.