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Finding the Third Proportional to 114,961 and 177,363.50

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Solution

The third proportional to 114,961 and 177,363.50 is: 273,638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,961 : 177,363.50 = 177,363.50 : x
  2. Step 2: Convert to fraction form
    114,961/177,363.50 = 177,363.50/x
  3. Step 3: Cross multiply
    114,961x = 177,363.50 × 177,363.50
  4. Step 4: Simplify right side
    114,961x = 31,457,811,132.25
  5. Step 5: Solve for x
    x = 31,457,811,132.25/114,961
  6. Step 6: Final answer
    x = 273,638.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.