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Finding the Third Proportional to 47,884 and 97,136

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Solution

The third proportional to 47,884 and 97,136 is: 197,047.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,884 : 97,136 = 97,136 : x
  2. Step 2: Convert to fraction form
    47,884/97,136 = 97,136/x
  3. Step 3: Cross multiply
    47,884x = 97,136 × 97,136
  4. Step 4: Simplify right side
    47,884x = 9,435,402,496
  5. Step 5: Solve for x
    x = 9,435,402,496/47,884
  6. Step 6: Final answer
    x = 197,047.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.