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Finding the Third Proportional to 92,271 and 201,776

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Solution

The third proportional to 92,271 and 201,776 is: 441,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,271 : 201,776 = 201,776 : x
  2. Step 2: Convert to fraction form
    92,271/201,776 = 201,776/x
  3. Step 3: Cross multiply
    92,271x = 201,776 × 201,776
  4. Step 4: Simplify right side
    92,271x = 40,713,554,176
  5. Step 5: Solve for x
    x = 40,713,554,176/92,271
  6. Step 6: Final answer
    x = 441,238.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.