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Finding the Third Proportional to 58,806 and 129,276

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Solution

The third proportional to 58,806 and 129,276 is: 284,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,806 : 129,276 = 129,276 : x
  2. Step 2: Convert to fraction form
    58,806/129,276 = 129,276/x
  3. Step 3: Cross multiply
    58,806x = 129,276 × 129,276
  4. Step 4: Simplify right side
    58,806x = 16,712,284,176
  5. Step 5: Solve for x
    x = 16,712,284,176/58,806
  6. Step 6: Final answer
    x = 284,193.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.