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Finding the Third Proportional to 112,957.03 and 174,901.78

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Solution

The third proportional to 112,957.03 and 174,901.78 is: 270,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,957.03 : 174,901.78 = 174,901.78 : x
  2. Step 2: Convert to fraction form
    112,957.03/174,901.78 = 174,901.78/x
  3. Step 3: Cross multiply
    112,957.03x = 174,901.78 × 174,901.78
  4. Step 4: Simplify right side
    112,957.03x = 30,590,633,084.42
  5. Step 5: Solve for x
    x = 30,590,633,084.42/112,957.03
  6. Step 6: Final answer
    x = 270,816.55

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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.