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Finding the Third Proportional to 47,592 and 88,136

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Solution

The third proportional to 47,592 and 88,136 is: 163,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,592 : 88,136 = 88,136 : x
  2. Step 2: Convert to fraction form
    47,592/88,136 = 88,136/x
  3. Step 3: Cross multiply
    47,592x = 88,136 × 88,136
  4. Step 4: Simplify right side
    47,592x = 7,767,954,496
  5. Step 5: Solve for x
    x = 7,767,954,496/47,592
  6. Step 6: Final answer
    x = 163,219.75

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.