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Finding the Third Proportional to 96,752 and 210,136

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Solution

The third proportional to 96,752 and 210,136 is: 456,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,752 : 210,136 = 210,136 : x
  2. Step 2: Convert to fraction form
    96,752/210,136 = 210,136/x
  3. Step 3: Cross multiply
    96,752x = 210,136 × 210,136
  4. Step 4: Simplify right side
    96,752x = 44,157,138,496
  5. Step 5: Solve for x
    x = 44,157,138,496/96,752
  6. Step 6: Final answer
    x = 456,395.10

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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.