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Finding the Third Proportional to 73,730.25 and 157,970.25

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Solution

The third proportional to 73,730.25 and 157,970.25 is: 338,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,730.25 : 157,970.25 = 157,970.25 : x
  2. Step 2: Convert to fraction form
    73,730.25/157,970.25 = 157,970.25/x
  3. Step 3: Cross multiply
    73,730.25x = 157,970.25 × 157,970.25
  4. Step 4: Simplify right side
    73,730.25x = 24,954,599,885.06
  5. Step 5: Solve for x
    x = 24,954,599,885.06/73,730.25
  6. Step 6: Final answer
    x = 338,458.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.