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Finding the Third Proportional to 113,822 and 167,041.50

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Solution

The third proportional to 113,822 and 167,041.50 is: 245,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,822 : 167,041.50 = 167,041.50 : x
  2. Step 2: Convert to fraction form
    113,822/167,041.50 = 167,041.50/x
  3. Step 3: Cross multiply
    113,822x = 167,041.50 × 167,041.50
  4. Step 4: Simplify right side
    113,822x = 27,902,862,722.25
  5. Step 5: Solve for x
    x = 27,902,862,722.25/113,822
  6. Step 6: Final answer
    x = 245,144.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.