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Finding the Third Proportional to 94,500.23 and 149,871.84

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Solution

The third proportional to 94,500.23 and 149,871.84 is: 237,687.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,500.23 : 149,871.84 = 149,871.84 : x
  2. Step 2: Convert to fraction form
    94,500.23/149,871.84 = 149,871.84/x
  3. Step 3: Cross multiply
    94,500.23x = 149,871.84 × 149,871.84
  4. Step 4: Simplify right side
    94,500.23x = 22,461,569,549.02
  5. Step 5: Solve for x
    x = 22,461,569,549.02/94,500.23
  6. Step 6: Final answer
    x = 237,687.98

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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.