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Finding the Third Proportional to 119,001 and 184,657.50

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Solution

The third proportional to 119,001 and 184,657.50 is: 286,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,001 : 184,657.50 = 184,657.50 : x
  2. Step 2: Convert to fraction form
    119,001/184,657.50 = 184,657.50/x
  3. Step 3: Cross multiply
    119,001x = 184,657.50 × 184,657.50
  4. Step 4: Simplify right side
    119,001x = 34,098,392,306.25
  5. Step 5: Solve for x
    x = 34,098,392,306.25/119,001
  6. Step 6: Final answer
    x = 286,538.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.