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Finding the Third Proportional to 91,146.94 and 142,657.03

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Solution

The third proportional to 91,146.94 and 142,657.03 is: 223,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,146.94 : 142,657.03 = 142,657.03 : x
  2. Step 2: Convert to fraction form
    91,146.94/142,657.03 = 142,657.03/x
  3. Step 3: Cross multiply
    91,146.94x = 142,657.03 × 142,657.03
  4. Step 4: Simplify right side
    91,146.94x = 20,351,028,565.06
  5. Step 5: Solve for x
    x = 20,351,028,565.06/91,146.94
  6. Step 6: Final answer
    x = 223,277.15

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.