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Finding the Third Proportional to 70,627.50 and 152,458.25

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Solution

The third proportional to 70,627.50 and 152,458.25 is: 329,100.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,627.50 : 152,458.25 = 152,458.25 : x
  2. Step 2: Convert to fraction form
    70,627.50/152,458.25 = 152,458.25/x
  3. Step 3: Cross multiply
    70,627.50x = 152,458.25 × 152,458.25
  4. Step 4: Simplify right side
    70,627.50x = 23,243,517,993.06
  5. Step 5: Solve for x
    x = 23,243,517,993.06/70,627.50
  6. Step 6: Final answer
    x = 329,100.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.