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Finding the Third Proportional to 119,435.50 and 172,653

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Solution

The third proportional to 119,435.50 and 172,653 is: 249,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,435.50 : 172,653 = 172,653 : x
  2. Step 2: Convert to fraction form
    119,435.50/172,653 = 172,653/x
  3. Step 3: Cross multiply
    119,435.50x = 172,653 × 172,653
  4. Step 4: Simplify right side
    119,435.50x = 29,809,058,409
  5. Step 5: Solve for x
    x = 29,809,058,409/119,435.50
  6. Step 6: Final answer
    x = 249,582.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.