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Finding the Third Proportional to 39,192 and 85,746

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Solution

The third proportional to 39,192 and 85,746 is: 187,598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,192 : 85,746 = 85,746 : x
  2. Step 2: Convert to fraction form
    39,192/85,746 = 85,746/x
  3. Step 3: Cross multiply
    39,192x = 85,746 × 85,746
  4. Step 4: Simplify right side
    39,192x = 7,352,376,516
  5. Step 5: Solve for x
    x = 7,352,376,516/39,192
  6. Step 6: Final answer
    x = 187,598.91

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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.