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Finding the Third Proportional to 84,572 and 131,700

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Solution

The third proportional to 84,572 and 131,700 is: 205,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,572 : 131,700 = 131,700 : x
  2. Step 2: Convert to fraction form
    84,572/131,700 = 131,700/x
  3. Step 3: Cross multiply
    84,572x = 131,700 × 131,700
  4. Step 4: Simplify right side
    84,572x = 17,344,890,000
  5. Step 5: Solve for x
    x = 17,344,890,000/84,572
  6. Step 6: Final answer
    x = 205,090.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.