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Finding the Third Proportional to 78,241 and 168,952

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Solution

The third proportional to 78,241 and 168,952 is: 364,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,241 : 168,952 = 168,952 : x
  2. Step 2: Convert to fraction form
    78,241/168,952 = 168,952/x
  3. Step 3: Cross multiply
    78,241x = 168,952 × 168,952
  4. Step 4: Simplify right side
    78,241x = 28,544,778,304
  5. Step 5: Solve for x
    x = 28,544,778,304/78,241
  6. Step 6: Final answer
    x = 364,831.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.