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Finding the Third Proportional to 142,053 and 236,726

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Solution

The third proportional to 142,053 and 236,726 is: 394,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,053 : 236,726 = 236,726 : x
  2. Step 2: Convert to fraction form
    142,053/236,726 = 236,726/x
  3. Step 3: Cross multiply
    142,053x = 236,726 × 236,726
  4. Step 4: Simplify right side
    142,053x = 56,039,199,076
  5. Step 5: Solve for x
    x = 56,039,199,076/142,053
  6. Step 6: Final answer
    x = 394,495.01

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.