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Finding the Third Proportional to 59,946 and 126,060

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Solution

The third proportional to 59,946 and 126,060 is: 265,090.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,946 : 126,060 = 126,060 : x
  2. Step 2: Convert to fraction form
    59,946/126,060 = 126,060/x
  3. Step 3: Cross multiply
    59,946x = 126,060 × 126,060
  4. Step 4: Simplify right side
    59,946x = 15,891,123,600
  5. Step 5: Solve for x
    x = 15,891,123,600/59,946
  6. Step 6: Final answer
    x = 265,090.64

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.