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Finding the Third Proportional to 118,945 and 173,952

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Solution

The third proportional to 118,945 and 173,952 is: 254,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,945 : 173,952 = 173,952 : x
  2. Step 2: Convert to fraction form
    118,945/173,952 = 173,952/x
  3. Step 3: Cross multiply
    118,945x = 173,952 × 173,952
  4. Step 4: Simplify right side
    118,945x = 30,259,298,304
  5. Step 5: Solve for x
    x = 30,259,298,304/118,945
  6. Step 6: Final answer
    x = 254,397.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.