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Finding the Third Proportional to 127,380 and 163,368

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Solution

The third proportional to 127,380 and 163,368 is: 209,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,380 : 163,368 = 163,368 : x
  2. Step 2: Convert to fraction form
    127,380/163,368 = 163,368/x
  3. Step 3: Cross multiply
    127,380x = 163,368 × 163,368
  4. Step 4: Simplify right side
    127,380x = 26,689,103,424
  5. Step 5: Solve for x
    x = 26,689,103,424/127,380
  6. Step 6: Final answer
    x = 209,523.50

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.