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Finding the Third Proportional to 136,121 and 295,860.25

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Solution

The third proportional to 136,121 and 295,860.25 is: 643,054.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,121 : 295,860.25 = 295,860.25 : x
  2. Step 2: Convert to fraction form
    136,121/295,860.25 = 295,860.25/x
  3. Step 3: Cross multiply
    136,121x = 295,860.25 × 295,860.25
  4. Step 4: Simplify right side
    136,121x = 87,533,287,530.06
  5. Step 5: Solve for x
    x = 87,533,287,530.06/136,121
  6. Step 6: Final answer
    x = 643,054.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.