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Finding the Third Proportional to 42,066 and 98,300.25

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Solution

The third proportional to 42,066 and 98,300.25 is: 229,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,066 : 98,300.25 = 98,300.25 : x
  2. Step 2: Convert to fraction form
    42,066/98,300.25 = 98,300.25/x
  3. Step 3: Cross multiply
    42,066x = 98,300.25 × 98,300.25
  4. Step 4: Simplify right side
    42,066x = 9,662,939,150.06
  5. Step 5: Solve for x
    x = 9,662,939,150.06/42,066
  6. Step 6: Final answer
    x = 229,709.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.