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Finding the Third Proportional to 70,657.50 and 151,552.50

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Solution

The third proportional to 70,657.50 and 151,552.50 is: 325,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657.50 : 151,552.50 = 151,552.50 : x
  2. Step 2: Convert to fraction form
    70,657.50/151,552.50 = 151,552.50/x
  3. Step 3: Cross multiply
    70,657.50x = 151,552.50 × 151,552.50
  4. Step 4: Simplify right side
    70,657.50x = 22,968,160,256.25
  5. Step 5: Solve for x
    x = 22,968,160,256.25/70,657.50
  6. Step 6: Final answer
    x = 325,063.30

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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.