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Finding the Third Proportional to 133,254 and 176,066

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Solution

The third proportional to 133,254 and 176,066 is: 232,632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,254 : 176,066 = 176,066 : x
  2. Step 2: Convert to fraction form
    133,254/176,066 = 176,066/x
  3. Step 3: Cross multiply
    133,254x = 176,066 × 176,066
  4. Step 4: Simplify right side
    133,254x = 30,999,236,356
  5. Step 5: Solve for x
    x = 30,999,236,356/133,254
  6. Step 6: Final answer
    x = 232,632.69

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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.