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Finding the Third Proportional to 74,973.09 and 85,122.14

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Solution

The third proportional to 74,973.09 and 85,122.14 is: 96,645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,973.09 : 85,122.14 = 85,122.14 : x
  2. Step 2: Convert to fraction form
    74,973.09/85,122.14 = 85,122.14/x
  3. Step 3: Cross multiply
    74,973.09x = 85,122.14 × 85,122.14
  4. Step 4: Simplify right side
    74,973.09x = 7,245,778,824.58
  5. Step 5: Solve for x
    x = 7,245,778,824.58/74,973.09
  6. Step 6: Final answer
    x = 96,645.06

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.