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Finding the Third Proportional to 117,527.63 and 176,552.63

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Solution

The third proportional to 117,527.63 and 176,552.63 is: 265,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,527.63 : 176,552.63 = 176,552.63 : x
  2. Step 2: Convert to fraction form
    117,527.63/176,552.63 = 176,552.63/x
  3. Step 3: Cross multiply
    117,527.63x = 176,552.63 × 176,552.63
  4. Step 4: Simplify right side
    117,527.63x = 31,170,829,394.39
  5. Step 5: Solve for x
    x = 31,170,829,394.39/117,527.63
  6. Step 6: Final answer
    x = 265,221.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.