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Finding the Third Proportional to 63,136 and 140,285.50

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Solution

The third proportional to 63,136 and 140,285.50 is: 311,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,136 : 140,285.50 = 140,285.50 : x
  2. Step 2: Convert to fraction form
    63,136/140,285.50 = 140,285.50/x
  3. Step 3: Cross multiply
    63,136x = 140,285.50 × 140,285.50
  4. Step 4: Simplify right side
    63,136x = 19,680,021,510.25
  5. Step 5: Solve for x
    x = 19,680,021,510.25/63,136
  6. Step 6: Final answer
    x = 311,708.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.