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Finding the Third Proportional to 60,846 and 141,363

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Solution

The third proportional to 60,846 and 141,363 is: 328,427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,846 : 141,363 = 141,363 : x
  2. Step 2: Convert to fraction form
    60,846/141,363 = 141,363/x
  3. Step 3: Cross multiply
    60,846x = 141,363 × 141,363
  4. Step 4: Simplify right side
    60,846x = 19,983,497,769
  5. Step 5: Solve for x
    x = 19,983,497,769/60,846
  6. Step 6: Final answer
    x = 328,427.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.