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Finding the Third Proportional to 76,048.13 and 176,045.25

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Solution

The third proportional to 76,048.13 and 176,045.25 is: 407,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,048.13 : 176,045.25 = 176,045.25 : x
  2. Step 2: Convert to fraction form
    76,048.13/176,045.25 = 176,045.25/x
  3. Step 3: Cross multiply
    76,048.13x = 176,045.25 × 176,045.25
  4. Step 4: Simplify right side
    76,048.13x = 30,991,930,047.56
  5. Step 5: Solve for x
    x = 30,991,930,047.56/76,048.13
  6. Step 6: Final answer
    x = 407,530.50

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.