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Finding the Third Proportional to 96,178 and 210,056

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Solution

The third proportional to 96,178 and 210,056 is: 458,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,178 : 210,056 = 210,056 : x
  2. Step 2: Convert to fraction form
    96,178/210,056 = 210,056/x
  3. Step 3: Cross multiply
    96,178x = 210,056 × 210,056
  4. Step 4: Simplify right side
    96,178x = 44,123,523,136
  5. Step 5: Solve for x
    x = 44,123,523,136/96,178
  6. Step 6: Final answer
    x = 458,769.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.