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Finding the Third Proportional to 71,840.25 and 157,056.50

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Solution

The third proportional to 71,840.25 and 157,056.50 is: 343,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,840.25 : 157,056.50 = 157,056.50 : x
  2. Step 2: Convert to fraction form
    71,840.25/157,056.50 = 157,056.50/x
  3. Step 3: Cross multiply
    71,840.25x = 157,056.50 × 157,056.50
  4. Step 4: Simplify right side
    71,840.25x = 24,666,744,192.25
  5. Step 5: Solve for x
    x = 24,666,744,192.25/71,840.25
  6. Step 6: Final answer
    x = 343,355.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.