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Finding the Third Proportional to 114,538.50 and 174,237.75

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Solution

The third proportional to 114,538.50 and 174,237.75 is: 265,053.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,538.50 : 174,237.75 = 174,237.75 : x
  2. Step 2: Convert to fraction form
    114,538.50/174,237.75 = 174,237.75/x
  3. Step 3: Cross multiply
    114,538.50x = 174,237.75 × 174,237.75
  4. Step 4: Simplify right side
    114,538.50x = 30,358,793,525.06
  5. Step 5: Solve for x
    x = 30,358,793,525.06/114,538.50
  6. Step 6: Final answer
    x = 265,053.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.