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Finding the Third Proportional to 101,737 and 155,629.50

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Solution

The third proportional to 101,737 and 155,629.50 is: 238,070.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,737 : 155,629.50 = 155,629.50 : x
  2. Step 2: Convert to fraction form
    101,737/155,629.50 = 155,629.50/x
  3. Step 3: Cross multiply
    101,737x = 155,629.50 × 155,629.50
  4. Step 4: Simplify right side
    101,737x = 24,220,541,270.25
  5. Step 5: Solve for x
    x = 24,220,541,270.25/101,737
  6. Step 6: Final answer
    x = 238,070.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.