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Finding the Third Proportional to 64,377 and 100,129.50

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Solution

The third proportional to 64,377 and 100,129.50 is: 155,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,377 : 100,129.50 = 100,129.50 : x
  2. Step 2: Convert to fraction form
    64,377/100,129.50 = 100,129.50/x
  3. Step 3: Cross multiply
    64,377x = 100,129.50 × 100,129.50
  4. Step 4: Simplify right side
    64,377x = 10,025,916,770.25
  5. Step 5: Solve for x
    x = 10,025,916,770.25/64,377
  6. Step 6: Final answer
    x = 155,737.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.