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Finding the Third Proportional to 103,619.25 and 160,007.63

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Solution

The third proportional to 103,619.25 and 160,007.63 is: 247,081.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,619.25 : 160,007.63 = 160,007.63 : x
  2. Step 2: Convert to fraction form
    103,619.25/160,007.63 = 160,007.63/x
  3. Step 3: Cross multiply
    103,619.25x = 160,007.63 × 160,007.63
  4. Step 4: Simplify right side
    103,619.25x = 25,602,440,058.14
  5. Step 5: Solve for x
    x = 25,602,440,058.14/103,619.25
  6. Step 6: Final answer
    x = 247,081.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.