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Finding the Third Proportional to 114,836.50 and 167,718.50

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Solution

The third proportional to 114,836.50 and 167,718.50 is: 244,952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,836.50 : 167,718.50 = 167,718.50 : x
  2. Step 2: Convert to fraction form
    114,836.50/167,718.50 = 167,718.50/x
  3. Step 3: Cross multiply
    114,836.50x = 167,718.50 × 167,718.50
  4. Step 4: Simplify right side
    114,836.50x = 28,129,495,242.25
  5. Step 5: Solve for x
    x = 28,129,495,242.25/114,836.50
  6. Step 6: Final answer
    x = 244,952.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.