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Finding the Third Proportional to 94,621.50 and 142,335

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Solution

The third proportional to 94,621.50 and 142,335 is: 214,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,621.50 : 142,335 = 142,335 : x
  2. Step 2: Convert to fraction form
    94,621.50/142,335 = 142,335/x
  3. Step 3: Cross multiply
    94,621.50x = 142,335 × 142,335
  4. Step 4: Simplify right side
    94,621.50x = 20,259,252,225
  5. Step 5: Solve for x
    x = 20,259,252,225/94,621.50
  6. Step 6: Final answer
    x = 214,108.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.