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Finding the Third Proportional to 81,747 and 176,392.13

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Solution

The third proportional to 81,747 and 176,392.13 is: 380,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,747 : 176,392.13 = 176,392.13 : x
  2. Step 2: Convert to fraction form
    81,747/176,392.13 = 176,392.13/x
  3. Step 3: Cross multiply
    81,747x = 176,392.13 × 176,392.13
  4. Step 4: Simplify right side
    81,747x = 31,114,181,762.02
  5. Step 5: Solve for x
    x = 31,114,181,762.02/81,747
  6. Step 6: Final answer
    x = 380,615.58

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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.