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Finding the Third Proportional to 78,924 and 119,202

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Solution

The third proportional to 78,924 and 119,202 is: 180,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,924 : 119,202 = 119,202 : x
  2. Step 2: Convert to fraction form
    78,924/119,202 = 119,202/x
  3. Step 3: Cross multiply
    78,924x = 119,202 × 119,202
  4. Step 4: Simplify right side
    78,924x = 14,209,116,804
  5. Step 5: Solve for x
    x = 14,209,116,804/78,924
  6. Step 6: Final answer
    x = 180,035.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.