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Finding the Third Proportional to 141,232 and 207,136

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Solution

The third proportional to 141,232 and 207,136 is: 303,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,232 : 207,136 = 207,136 : x
  2. Step 2: Convert to fraction form
    141,232/207,136 = 207,136/x
  3. Step 3: Cross multiply
    141,232x = 207,136 × 207,136
  4. Step 4: Simplify right side
    141,232x = 42,905,322,496
  5. Step 5: Solve for x
    x = 42,905,322,496/141,232
  6. Step 6: Final answer
    x = 303,793.21

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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.