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Finding the Third Proportional to 94,518 and 149,737.50

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Solution

The third proportional to 94,518 and 149,737.50 is: 237,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,518 : 149,737.50 = 149,737.50 : x
  2. Step 2: Convert to fraction form
    94,518/149,737.50 = 149,737.50/x
  3. Step 3: Cross multiply
    94,518x = 149,737.50 × 149,737.50
  4. Step 4: Simplify right side
    94,518x = 22,421,318,906.25
  5. Step 5: Solve for x
    x = 22,421,318,906.25/94,518
  6. Step 6: Final answer
    x = 237,217.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.