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Finding the Third Proportional to 51,752 and 112,136

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Solution

The third proportional to 51,752 and 112,136 is: 242,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,752 : 112,136 = 112,136 : x
  2. Step 2: Convert to fraction form
    51,752/112,136 = 112,136/x
  3. Step 3: Cross multiply
    51,752x = 112,136 × 112,136
  4. Step 4: Simplify right side
    51,752x = 12,574,482,496
  5. Step 5: Solve for x
    x = 12,574,482,496/51,752
  6. Step 6: Final answer
    x = 242,975.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.