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Finding the Third Proportional to 94,143 and 143,421

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Solution

The third proportional to 94,143 and 143,421 is: 218,492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,143 : 143,421 = 143,421 : x
  2. Step 2: Convert to fraction form
    94,143/143,421 = 143,421/x
  3. Step 3: Cross multiply
    94,143x = 143,421 × 143,421
  4. Step 4: Simplify right side
    94,143x = 20,569,583,241
  5. Step 5: Solve for x
    x = 20,569,583,241/94,143
  6. Step 6: Final answer
    x = 218,492.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.