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Finding the Third Proportional to 98,056 and 147,056

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Solution

The third proportional to 98,056 and 147,056 is: 220,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,056 : 147,056 = 147,056 : x
  2. Step 2: Convert to fraction form
    98,056/147,056 = 147,056/x
  3. Step 3: Cross multiply
    98,056x = 147,056 × 147,056
  4. Step 4: Simplify right side
    98,056x = 21,625,467,136
  5. Step 5: Solve for x
    x = 21,625,467,136/98,056
  6. Step 6: Final answer
    x = 220,542.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.