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Finding the Third Proportional to 92,569.50 and 201,717

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Solution

The third proportional to 92,569.50 and 201,717 is: 439,558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,569.50 : 201,717 = 201,717 : x
  2. Step 2: Convert to fraction form
    92,569.50/201,717 = 201,717/x
  3. Step 3: Cross multiply
    92,569.50x = 201,717 × 201,717
  4. Step 4: Simplify right side
    92,569.50x = 40,689,748,089
  5. Step 5: Solve for x
    x = 40,689,748,089/92,569.50
  6. Step 6: Final answer
    x = 439,558.91

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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.