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Finding the Third Proportional to 93,700.50 and 149,025

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Solution

The third proportional to 93,700.50 and 149,025 is: 237,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,700.50 : 149,025 = 149,025 : x
  2. Step 2: Convert to fraction form
    93,700.50/149,025 = 149,025/x
  3. Step 3: Cross multiply
    93,700.50x = 149,025 × 149,025
  4. Step 4: Simplify right side
    93,700.50x = 22,208,450,625
  5. Step 5: Solve for x
    x = 22,208,450,625/93,700.50
  6. Step 6: Final answer
    x = 237,015.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.