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Finding the Third Proportional to 117,535.50 and 176,564.25

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Solution

The third proportional to 117,535.50 and 176,564.25 is: 265,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,535.50 : 176,564.25 = 176,564.25 : x
  2. Step 2: Convert to fraction form
    117,535.50/176,564.25 = 176,564.25/x
  3. Step 3: Cross multiply
    117,535.50x = 176,564.25 × 176,564.25
  4. Step 4: Simplify right side
    117,535.50x = 31,174,934,378.06
  5. Step 5: Solve for x
    x = 31,174,934,378.06/117,535.50
  6. Step 6: Final answer
    x = 265,238.45

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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.