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Finding the Third Proportional to 42,089.50 and 70,141

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Solution

The third proportional to 42,089.50 and 70,141 is: 116,888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,089.50 : 70,141 = 70,141 : x
  2. Step 2: Convert to fraction form
    42,089.50/70,141 = 70,141/x
  3. Step 3: Cross multiply
    42,089.50x = 70,141 × 70,141
  4. Step 4: Simplify right side
    42,089.50x = 4,919,759,881
  5. Step 5: Solve for x
    x = 4,919,759,881/42,089.50
  6. Step 6: Final answer
    x = 116,888.06

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.