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Finding the Third Proportional to 97,320 and 127,788

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Solution

The third proportional to 97,320 and 127,788 is: 167,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,320 : 127,788 = 127,788 : x
  2. Step 2: Convert to fraction form
    97,320/127,788 = 127,788/x
  3. Step 3: Cross multiply
    97,320x = 127,788 × 127,788
  4. Step 4: Simplify right side
    97,320x = 16,329,772,944
  5. Step 5: Solve for x
    x = 16,329,772,944/97,320
  6. Step 6: Final answer
    x = 167,794.63

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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.