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Finding the Third Proportional to 105,139.50 and 151,130.25

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Solution

The third proportional to 105,139.50 and 151,130.25 is: 217,238.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,139.50 : 151,130.25 = 151,130.25 : x
  2. Step 2: Convert to fraction form
    105,139.50/151,130.25 = 151,130.25/x
  3. Step 3: Cross multiply
    105,139.50x = 151,130.25 × 151,130.25
  4. Step 4: Simplify right side
    105,139.50x = 22,840,352,465.06
  5. Step 5: Solve for x
    x = 22,840,352,465.06/105,139.50
  6. Step 6: Final answer
    x = 217,238.55

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.