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Finding the Third Proportional to 75,071.81 and 163,220.06

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Solution

The third proportional to 75,071.81 and 163,220.06 is: 354,870.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,071.81 : 163,220.06 = 163,220.06 : x
  2. Step 2: Convert to fraction form
    75,071.81/163,220.06 = 163,220.06/x
  3. Step 3: Cross multiply
    75,071.81x = 163,220.06 × 163,220.06
  4. Step 4: Simplify right side
    75,071.81x = 26,640,788,802.50
  5. Step 5: Solve for x
    x = 26,640,788,802.50/75,071.81
  6. Step 6: Final answer
    x = 354,870.73

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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.