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Finding the Third Proportional to 67,316 and 105,342

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Solution

The third proportional to 67,316 and 105,342 is: 164,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,316 : 105,342 = 105,342 : x
  2. Step 2: Convert to fraction form
    67,316/105,342 = 105,342/x
  3. Step 3: Cross multiply
    67,316x = 105,342 × 105,342
  4. Step 4: Simplify right side
    67,316x = 11,096,936,964
  5. Step 5: Solve for x
    x = 11,096,936,964/67,316
  6. Step 6: Final answer
    x = 164,848.43

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.