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Finding the Third Proportional to 94,122.50 and 183,516

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Solution

The third proportional to 94,122.50 and 183,516 is: 357,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,122.50 : 183,516 = 183,516 : x
  2. Step 2: Convert to fraction form
    94,122.50/183,516 = 183,516/x
  3. Step 3: Cross multiply
    94,122.50x = 183,516 × 183,516
  4. Step 4: Simplify right side
    94,122.50x = 33,678,122,256
  5. Step 5: Solve for x
    x = 33,678,122,256/94,122.50
  6. Step 6: Final answer
    x = 357,811.60

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.