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Finding the Third Proportional to 127,046 and 186,763

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Solution

The third proportional to 127,046 and 186,763 is: 274,549.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,046 : 186,763 = 186,763 : x
  2. Step 2: Convert to fraction form
    127,046/186,763 = 186,763/x
  3. Step 3: Cross multiply
    127,046x = 186,763 × 186,763
  4. Step 4: Simplify right side
    127,046x = 34,880,418,169
  5. Step 5: Solve for x
    x = 34,880,418,169/127,046
  6. Step 6: Final answer
    x = 274,549.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.