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Finding the Third Proportional to 113,437.13 and 158,981.06

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Solution

The third proportional to 113,437.13 and 158,981.06 is: 222,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,437.13 : 158,981.06 = 158,981.06 : x
  2. Step 2: Convert to fraction form
    113,437.13/158,981.06 = 158,981.06/x
  3. Step 3: Cross multiply
    113,437.13x = 158,981.06 × 158,981.06
  4. Step 4: Simplify right side
    113,437.13x = 25,274,978,233.63
  5. Step 5: Solve for x
    x = 25,274,978,233.63/113,437.13
  6. Step 6: Final answer
    x = 222,810.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.