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Finding the Third Proportional to 107,346 and 157,735.50

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Solution

The third proportional to 107,346 and 157,735.50 is: 231,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,346 : 157,735.50 = 157,735.50 : x
  2. Step 2: Convert to fraction form
    107,346/157,735.50 = 157,735.50/x
  3. Step 3: Cross multiply
    107,346x = 157,735.50 × 157,735.50
  4. Step 4: Simplify right side
    107,346x = 24,880,487,960.25
  5. Step 5: Solve for x
    x = 24,880,487,960.25/107,346
  6. Step 6: Final answer
    x = 231,778.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.