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Finding the Third Proportional to 114,962 and 177,365

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Solution

The third proportional to 114,962 and 177,365 is: 273,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,962 : 177,365 = 177,365 : x
  2. Step 2: Convert to fraction form
    114,962/177,365 = 177,365/x
  3. Step 3: Cross multiply
    114,962x = 177,365 × 177,365
  4. Step 4: Simplify right side
    114,962x = 31,458,343,225
  5. Step 5: Solve for x
    x = 31,458,343,225/114,962
  6. Step 6: Final answer
    x = 273,641.23

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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.