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Finding the Third Proportional to 60,482 and 133,028

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Solution

The third proportional to 60,482 and 133,028 is: 292,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,482 : 133,028 = 133,028 : x
  2. Step 2: Convert to fraction form
    60,482/133,028 = 133,028/x
  3. Step 3: Cross multiply
    60,482x = 133,028 × 133,028
  4. Step 4: Simplify right side
    60,482x = 17,696,448,784
  5. Step 5: Solve for x
    x = 17,696,448,784/60,482
  6. Step 6: Final answer
    x = 292,590.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.