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Finding the Third Proportional to 63,136 and 95,768

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Solution

The third proportional to 63,136 and 95,768 is: 145,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,136 : 95,768 = 95,768 : x
  2. Step 2: Convert to fraction form
    63,136/95,768 = 95,768/x
  3. Step 3: Cross multiply
    63,136x = 95,768 × 95,768
  4. Step 4: Simplify right side
    63,136x = 9,171,509,824
  5. Step 5: Solve for x
    x = 9,171,509,824/63,136
  6. Step 6: Final answer
    x = 145,265.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.