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Finding the Third Proportional to 105,160 and 141,700

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Solution

The third proportional to 105,160 and 141,700 is: 190,936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,160 : 141,700 = 141,700 : x
  2. Step 2: Convert to fraction form
    105,160/141,700 = 141,700/x
  3. Step 3: Cross multiply
    105,160x = 141,700 × 141,700
  4. Step 4: Simplify right side
    105,160x = 20,078,890,000
  5. Step 5: Solve for x
    x = 20,078,890,000/105,160
  6. Step 6: Final answer
    x = 190,936.57

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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.