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Finding the Third Proportional to 93,348 and 125,766

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Solution

The third proportional to 93,348 and 125,766 is: 169,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,348 : 125,766 = 125,766 : x
  2. Step 2: Convert to fraction form
    93,348/125,766 = 125,766/x
  3. Step 3: Cross multiply
    93,348x = 125,766 × 125,766
  4. Step 4: Simplify right side
    93,348x = 15,817,086,756
  5. Step 5: Solve for x
    x = 15,817,086,756/93,348
  6. Step 6: Final answer
    x = 169,442.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.