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Finding the Third Proportional to 65,898 and 144,342

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Solution

The third proportional to 65,898 and 144,342 is: 316,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,898 : 144,342 = 144,342 : x
  2. Step 2: Convert to fraction form
    65,898/144,342 = 144,342/x
  3. Step 3: Cross multiply
    65,898x = 144,342 × 144,342
  4. Step 4: Simplify right side
    65,898x = 20,834,612,964
  5. Step 5: Solve for x
    x = 20,834,612,964/65,898
  6. Step 6: Final answer
    x = 316,164.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.