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Finding the Third Proportional to 112,544.86 and 171,675.70

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Solution

The third proportional to 112,544.86 and 171,675.70 is: 261,873.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,544.86 : 171,675.70 = 171,675.70 : x
  2. Step 2: Convert to fraction form
    112,544.86/171,675.70 = 171,675.70/x
  3. Step 3: Cross multiply
    112,544.86x = 171,675.70 × 171,675.70
  4. Step 4: Simplify right side
    112,544.86x = 29,472,547,043.46
  5. Step 5: Solve for x
    x = 29,472,547,043.46/112,544.86
  6. Step 6: Final answer
    x = 261,873.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.