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Finding the Third Proportional to 79,328 and 116,798

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Solution

The third proportional to 79,328 and 116,798 is: 171,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,328 : 116,798 = 116,798 : x
  2. Step 2: Convert to fraction form
    79,328/116,798 = 116,798/x
  3. Step 3: Cross multiply
    79,328x = 116,798 × 116,798
  4. Step 4: Simplify right side
    79,328x = 13,641,772,804
  5. Step 5: Solve for x
    x = 13,641,772,804/79,328
  6. Step 6: Final answer
    x = 171,966.68

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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.