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Finding the Third Proportional to 81,829.13 and 176,563.13

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Solution

The third proportional to 81,829.13 and 176,563.13 is: 380,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,829.13 : 176,563.13 = 176,563.13 : x
  2. Step 2: Convert to fraction form
    81,829.13/176,563.13 = 176,563.13/x
  3. Step 3: Cross multiply
    81,829.13x = 176,563.13 × 176,563.13
  4. Step 4: Simplify right side
    81,829.13x = 31,174,537,109.77
  5. Step 5: Solve for x
    x = 31,174,537,109.77/81,829.13
  6. Step 6: Final answer
    x = 380,971.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.