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Finding the Third Proportional to 45,985 and 70,314.50

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Solution

The third proportional to 45,985 and 70,314.50 is: 107,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,985 : 70,314.50 = 70,314.50 : x
  2. Step 2: Convert to fraction form
    45,985/70,314.50 = 70,314.50/x
  3. Step 3: Cross multiply
    45,985x = 70,314.50 × 70,314.50
  4. Step 4: Simplify right side
    45,985x = 4,944,128,910.25
  5. Step 5: Solve for x
    x = 4,944,128,910.25/45,985
  6. Step 6: Final answer
    x = 107,516.12

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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.