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Finding the Third Proportional to 114,537 and 167,269.50

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Solution

The third proportional to 114,537 and 167,269.50 is: 244,279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,537 : 167,269.50 = 167,269.50 : x
  2. Step 2: Convert to fraction form
    114,537/167,269.50 = 167,269.50/x
  3. Step 3: Cross multiply
    114,537x = 167,269.50 × 167,269.50
  4. Step 4: Simplify right side
    114,537x = 27,979,085,630.25
  5. Step 5: Solve for x
    x = 27,979,085,630.25/114,537
  6. Step 6: Final answer
    x = 244,279.89

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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.