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Finding the Third Proportional to 115,134 and 177,622.50

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Solution

The third proportional to 115,134 and 177,622.50 is: 274,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,134 : 177,622.50 = 177,622.50 : x
  2. Step 2: Convert to fraction form
    115,134/177,622.50 = 177,622.50/x
  3. Step 3: Cross multiply
    115,134x = 177,622.50 × 177,622.50
  4. Step 4: Simplify right side
    115,134x = 31,549,752,506.25
  5. Step 5: Solve for x
    x = 31,549,752,506.25/115,134
  6. Step 6: Final answer
    x = 274,026.37

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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.