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Finding the Third Proportional to 102,502 and 220,056

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Solution

The third proportional to 102,502 and 220,056 is: 472,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,502 : 220,056 = 220,056 : x
  2. Step 2: Convert to fraction form
    102,502/220,056 = 220,056/x
  3. Step 3: Cross multiply
    102,502x = 220,056 × 220,056
  4. Step 4: Simplify right side
    102,502x = 48,424,643,136
  5. Step 5: Solve for x
    x = 48,424,643,136/102,502
  6. Step 6: Final answer
    x = 472,426.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.