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Finding the Third Proportional to 70,110 and 153,069.75

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Solution

The third proportional to 70,110 and 153,069.75 is: 334,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,110 : 153,069.75 = 153,069.75 : x
  2. Step 2: Convert to fraction form
    70,110/153,069.75 = 153,069.75/x
  3. Step 3: Cross multiply
    70,110x = 153,069.75 × 153,069.75
  4. Step 4: Simplify right side
    70,110x = 23,430,348,365.06
  5. Step 5: Solve for x
    x = 23,430,348,365.06/70,110
  6. Step 6: Final answer
    x = 334,194.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.