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Finding the Third Proportional to 77,500 and 168,056

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Solution

The third proportional to 77,500 and 168,056 is: 364,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,500 : 168,056 = 168,056 : x
  2. Step 2: Convert to fraction form
    77,500/168,056 = 168,056/x
  3. Step 3: Cross multiply
    77,500x = 168,056 × 168,056
  4. Step 4: Simplify right side
    77,500x = 28,242,819,136
  5. Step 5: Solve for x
    x = 28,242,819,136/77,500
  6. Step 6: Final answer
    x = 364,423.47

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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.