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Finding the Third Proportional to 67,835 and 141,862

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Solution

The third proportional to 67,835 and 141,862 is: 296,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,835 : 141,862 = 141,862 : x
  2. Step 2: Convert to fraction form
    67,835/141,862 = 141,862/x
  3. Step 3: Cross multiply
    67,835x = 141,862 × 141,862
  4. Step 4: Simplify right side
    67,835x = 20,124,827,044
  5. Step 5: Solve for x
    x = 20,124,827,044/67,835
  6. Step 6: Final answer
    x = 296,673.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.