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Finding the Third Proportional to 71,779.50 and 147,141

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Solution

The third proportional to 71,779.50 and 147,141 is: 301,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,779.50 : 147,141 = 147,141 : x
  2. Step 2: Convert to fraction form
    71,779.50/147,141 = 147,141/x
  3. Step 3: Cross multiply
    71,779.50x = 147,141 × 147,141
  4. Step 4: Simplify right side
    71,779.50x = 21,650,473,881
  5. Step 5: Solve for x
    x = 21,650,473,881/71,779.50
  6. Step 6: Final answer
    x = 301,624.75

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.