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Finding the Third Proportional to 97,470 and 127,035

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Solution

The third proportional to 97,470 and 127,035 is: 165,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,470 : 127,035 = 127,035 : x
  2. Step 2: Convert to fraction form
    97,470/127,035 = 127,035/x
  3. Step 3: Cross multiply
    97,470x = 127,035 × 127,035
  4. Step 4: Simplify right side
    97,470x = 16,137,891,225
  5. Step 5: Solve for x
    x = 16,137,891,225/97,470
  6. Step 6: Final answer
    x = 165,567.78

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.