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Finding the Third Proportional to 119,017 and 163,200

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Solution

The third proportional to 119,017 and 163,200 is: 223,785.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,017 : 163,200 = 163,200 : x
  2. Step 2: Convert to fraction form
    119,017/163,200 = 163,200/x
  3. Step 3: Cross multiply
    119,017x = 163,200 × 163,200
  4. Step 4: Simplify right side
    119,017x = 26,634,240,000
  5. Step 5: Solve for x
    x = 26,634,240,000/119,017
  6. Step 6: Final answer
    x = 223,785.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.