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Finding the Third Proportional to 114,025.50 and 176,575

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Solution

The third proportional to 114,025.50 and 176,575 is: 273,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,025.50 : 176,575 = 176,575 : x
  2. Step 2: Convert to fraction form
    114,025.50/176,575 = 176,575/x
  3. Step 3: Cross multiply
    114,025.50x = 176,575 × 176,575
  4. Step 4: Simplify right side
    114,025.50x = 31,178,730,625
  5. Step 5: Solve for x
    x = 31,178,730,625/114,025.50
  6. Step 6: Final answer
    x = 273,436.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.