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Finding the Third Proportional to 105,958.88 and 148,501.13

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Solution

The third proportional to 105,958.88 and 148,501.13 is: 208,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,958.88 : 148,501.13 = 148,501.13 : x
  2. Step 2: Convert to fraction form
    105,958.88/148,501.13 = 148,501.13/x
  3. Step 3: Cross multiply
    105,958.88x = 148,501.13 × 148,501.13
  4. Step 4: Simplify right side
    105,958.88x = 22,052,584,126.27
  5. Step 5: Solve for x
    x = 22,052,584,126.27/105,958.88
  6. Step 6: Final answer
    x = 208,123.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.