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Finding the Third Proportional to 97,192 and 127,620

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Solution

The third proportional to 97,192 and 127,620 is: 167,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,192 : 127,620 = 127,620 : x
  2. Step 2: Convert to fraction form
    97,192/127,620 = 127,620/x
  3. Step 3: Cross multiply
    97,192x = 127,620 × 127,620
  4. Step 4: Simplify right side
    97,192x = 16,286,864,400
  5. Step 5: Solve for x
    x = 16,286,864,400/97,192
  6. Step 6: Final answer
    x = 167,574.13

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.