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Finding the Third Proportional to 39,202 and 85,454

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Solution

The third proportional to 39,202 and 85,454 is: 186,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,202 : 85,454 = 85,454 : x
  2. Step 2: Convert to fraction form
    39,202/85,454 = 85,454/x
  3. Step 3: Cross multiply
    39,202x = 85,454 × 85,454
  4. Step 4: Simplify right side
    39,202x = 7,302,386,116
  5. Step 5: Solve for x
    x = 7,302,386,116/39,202
  6. Step 6: Final answer
    x = 186,275.86

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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.