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Finding the Third Proportional to 52,710 and 84,273

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Solution

The third proportional to 52,710 and 84,273 is: 134,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,710 : 84,273 = 84,273 : x
  2. Step 2: Convert to fraction form
    52,710/84,273 = 84,273/x
  3. Step 3: Cross multiply
    52,710x = 84,273 × 84,273
  4. Step 4: Simplify right side
    52,710x = 7,101,938,529
  5. Step 5: Solve for x
    x = 7,101,938,529/52,710
  6. Step 6: Final answer
    x = 134,736.08

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.