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Finding the Third Proportional to 127,348 and 163,914

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Solution

The third proportional to 127,348 and 163,914 is: 210,979.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,348 : 163,914 = 163,914 : x
  2. Step 2: Convert to fraction form
    127,348/163,914 = 163,914/x
  3. Step 3: Cross multiply
    127,348x = 163,914 × 163,914
  4. Step 4: Simplify right side
    127,348x = 26,867,799,396
  5. Step 5: Solve for x
    x = 26,867,799,396/127,348
  6. Step 6: Final answer
    x = 210,979.36

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.