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Finding the Third Proportional to 116,833.50 and 175,053

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Solution

The third proportional to 116,833.50 and 175,053 is: 262,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,833.50 : 175,053 = 175,053 : x
  2. Step 2: Convert to fraction form
    116,833.50/175,053 = 175,053/x
  3. Step 3: Cross multiply
    116,833.50x = 175,053 × 175,053
  4. Step 4: Simplify right side
    116,833.50x = 30,643,552,809
  5. Step 5: Solve for x
    x = 30,643,552,809/116,833.50
  6. Step 6: Final answer
    x = 262,283.96

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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.