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Finding the Third Proportional to 117,653.77 and 176,748.96

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Solution

The third proportional to 117,653.77 and 176,748.96 is: 265,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,653.77 : 176,748.96 = 176,748.96 : x
  2. Step 2: Convert to fraction form
    117,653.77/176,748.96 = 176,748.96/x
  3. Step 3: Cross multiply
    117,653.77x = 176,748.96 × 176,748.96
  4. Step 4: Simplify right side
    117,653.77x = 31,240,195,192.49
  5. Step 5: Solve for x
    x = 31,240,195,192.49/117,653.77
  6. Step 6: Final answer
    x = 265,526.52

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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.