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Finding the Third Proportional to 142,944 and 210,136

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Solution

The third proportional to 142,944 and 210,136 is: 308,912.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,944 : 210,136 = 210,136 : x
  2. Step 2: Convert to fraction form
    142,944/210,136 = 210,136/x
  3. Step 3: Cross multiply
    142,944x = 210,136 × 210,136
  4. Step 4: Simplify right side
    142,944x = 44,157,138,496
  5. Step 5: Solve for x
    x = 44,157,138,496/142,944
  6. Step 6: Final answer
    x = 308,912.15

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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.