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Finding the Third Proportional to 113,283.56 and 153,295.03

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Solution

The third proportional to 113,283.56 and 153,295.03 is: 207,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,283.56 : 153,295.03 = 153,295.03 : x
  2. Step 2: Convert to fraction form
    113,283.56/153,295.03 = 153,295.03/x
  3. Step 3: Cross multiply
    113,283.56x = 153,295.03 × 153,295.03
  4. Step 4: Simplify right side
    113,283.56x = 23,499,366,605.94
  5. Step 5: Solve for x
    x = 23,499,366,605.94/113,283.56
  6. Step 6: Final answer
    x = 207,438.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.