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Finding the Third Proportional to 140,952 and 193,284

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Solution

The third proportional to 140,952 and 193,284 is: 265,045.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,952 : 193,284 = 193,284 : x
  2. Step 2: Convert to fraction form
    140,952/193,284 = 193,284/x
  3. Step 3: Cross multiply
    140,952x = 193,284 × 193,284
  4. Step 4: Simplify right side
    140,952x = 37,358,704,656
  5. Step 5: Solve for x
    x = 37,358,704,656/140,952
  6. Step 6: Final answer
    x = 265,045.58

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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.