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Finding the Third Proportional to 133,250.63 and 176,061.38

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Solution

The third proportional to 133,250.63 and 176,061.38 is: 232,626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,250.63 : 176,061.38 = 176,061.38 : x
  2. Step 2: Convert to fraction form
    133,250.63/176,061.38 = 176,061.38/x
  3. Step 3: Cross multiply
    133,250.63x = 176,061.38 × 176,061.38
  4. Step 4: Simplify right side
    133,250.63x = 30,997,607,766.89
  5. Step 5: Solve for x
    x = 30,997,607,766.89/133,250.63
  6. Step 6: Final answer
    x = 232,626.36

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.