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Finding the Third Proportional to 83,672 and 130,456

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Solution

The third proportional to 83,672 and 130,456 is: 203,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,672 : 130,456 = 130,456 : x
  2. Step 2: Convert to fraction form
    83,672/130,456 = 130,456/x
  3. Step 3: Cross multiply
    83,672x = 130,456 × 130,456
  4. Step 4: Simplify right side
    83,672x = 17,018,767,936
  5. Step 5: Solve for x
    x = 17,018,767,936/83,672
  6. Step 6: Final answer
    x = 203,398.60

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