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Finding the Third Proportional to 96,648 and 130,056

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Solution

The third proportional to 96,648 and 130,056 is: 175,012.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,648 : 130,056 = 130,056 : x
  2. Step 2: Convert to fraction form
    96,648/130,056 = 130,056/x
  3. Step 3: Cross multiply
    96,648x = 130,056 × 130,056
  4. Step 4: Simplify right side
    96,648x = 16,914,563,136
  5. Step 5: Solve for x
    x = 16,914,563,136/96,648
  6. Step 6: Final answer
    x = 175,012.03

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.