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Finding the Third Proportional to 107,210.25 and 157,605.75

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Solution

The third proportional to 107,210.25 and 157,605.75 is: 231,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,210.25 : 157,605.75 = 157,605.75 : x
  2. Step 2: Convert to fraction form
    107,210.25/157,605.75 = 157,605.75/x
  3. Step 3: Cross multiply
    107,210.25x = 157,605.75 × 157,605.75
  4. Step 4: Simplify right side
    107,210.25x = 24,839,572,433.06
  5. Step 5: Solve for x
    x = 24,839,572,433.06/107,210.25
  6. Step 6: Final answer
    x = 231,690.28

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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.