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Finding the Third Proportional to 105,045 and 141,529.50

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Solution

The third proportional to 105,045 and 141,529.50 is: 190,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,045 : 141,529.50 = 141,529.50 : x
  2. Step 2: Convert to fraction form
    105,045/141,529.50 = 141,529.50/x
  3. Step 3: Cross multiply
    105,045x = 141,529.50 × 141,529.50
  4. Step 4: Simplify right side
    105,045x = 20,030,599,370.25
  5. Step 5: Solve for x
    x = 20,030,599,370.25/105,045
  6. Step 6: Final answer
    x = 190,685.89

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.