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Finding the Third Proportional to 92,526 and 201,754

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Solution

The third proportional to 92,526 and 201,754 is: 439,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,526 : 201,754 = 201,754 : x
  2. Step 2: Convert to fraction form
    92,526/201,754 = 201,754/x
  3. Step 3: Cross multiply
    92,526x = 201,754 × 201,754
  4. Step 4: Simplify right side
    92,526x = 40,704,676,516
  5. Step 5: Solve for x
    x = 40,704,676,516/92,526
  6. Step 6: Final answer
    x = 439,926.90

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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.