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Finding the Third Proportional to 72,409.50 and 114,927.75

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Solution

The third proportional to 72,409.50 and 114,927.75 is: 182,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,409.50 : 114,927.75 = 114,927.75 : x
  2. Step 2: Convert to fraction form
    72,409.50/114,927.75 = 114,927.75/x
  3. Step 3: Cross multiply
    72,409.50x = 114,927.75 × 114,927.75
  4. Step 4: Simplify right side
    72,409.50x = 13,208,387,720.06
  5. Step 5: Solve for x
    x = 13,208,387,720.06/72,409.50
  6. Step 6: Final answer
    x = 182,412.36

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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.