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Finding the Third Proportional to 78,664 and 118,004

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Solution

The third proportional to 78,664 and 118,004 is: 177,018.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,664 : 118,004 = 118,004 : x
  2. Step 2: Convert to fraction form
    78,664/118,004 = 118,004/x
  3. Step 3: Cross multiply
    78,664x = 118,004 × 118,004
  4. Step 4: Simplify right side
    78,664x = 13,924,944,016
  5. Step 5: Solve for x
    x = 13,924,944,016/78,664
  6. Step 6: Final answer
    x = 177,018.00

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