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Finding the Third Proportional to 78,921 and 120,730.50

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Solution

The third proportional to 78,921 and 120,730.50 is: 184,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,921 : 120,730.50 = 120,730.50 : x
  2. Step 2: Convert to fraction form
    78,921/120,730.50 = 120,730.50/x
  3. Step 3: Cross multiply
    78,921x = 120,730.50 × 120,730.50
  4. Step 4: Simplify right side
    78,921x = 14,575,853,630.25
  5. Step 5: Solve for x
    x = 14,575,853,630.25/78,921
  6. Step 6: Final answer
    x = 184,689.17

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.