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Finding the Third Proportional to 78,775.13 and 118,220.63

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Solution

The third proportional to 78,775.13 and 118,220.63 is: 177,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,775.13 : 118,220.63 = 118,220.63 : x
  2. Step 2: Convert to fraction form
    78,775.13/118,220.63 = 118,220.63/x
  3. Step 3: Cross multiply
    78,775.13x = 118,220.63 × 118,220.63
  4. Step 4: Simplify right side
    78,775.13x = 13,976,116,175.39
  5. Step 5: Solve for x
    x = 13,976,116,175.39/78,775.13
  6. Step 6: Final answer
    x = 177,417.89

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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.