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Finding the Third Proportional to 123,256.50 and 176,136.75

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Solution

The third proportional to 123,256.50 and 176,136.75 is: 251,704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,256.50 : 176,136.75 = 176,136.75 : x
  2. Step 2: Convert to fraction form
    123,256.50/176,136.75 = 176,136.75/x
  3. Step 3: Cross multiply
    123,256.50x = 176,136.75 × 176,136.75
  4. Step 4: Simplify right side
    123,256.50x = 31,024,154,700.56
  5. Step 5: Solve for x
    x = 31,024,154,700.56/123,256.50
  6. Step 6: Final answer
    x = 251,704.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.