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Finding the Third Proportional to 70,071.75 and 108,798.75

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Solution

The third proportional to 70,071.75 and 108,798.75 is: 168,929.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,071.75 : 108,798.75 = 108,798.75 : x
  2. Step 2: Convert to fraction form
    70,071.75/108,798.75 = 108,798.75/x
  3. Step 3: Cross multiply
    70,071.75x = 108,798.75 × 108,798.75
  4. Step 4: Simplify right side
    70,071.75x = 11,837,168,001.56
  5. Step 5: Solve for x
    x = 11,837,168,001.56/70,071.75
  6. Step 6: Final answer
    x = 168,929.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.