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Finding the Third Proportional to 78,417 and 117,804

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Solution

The third proportional to 78,417 and 117,804 is: 176,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,417 : 117,804 = 117,804 : x
  2. Step 2: Convert to fraction form
    78,417/117,804 = 117,804/x
  3. Step 3: Cross multiply
    78,417x = 117,804 × 117,804
  4. Step 4: Simplify right side
    78,417x = 13,877,782,416
  5. Step 5: Solve for x
    x = 13,877,782,416/78,417
  6. Step 6: Final answer
    x = 176,974.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.