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Finding the Third Proportional to 68,411 and 102,342

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Solution

The third proportional to 68,411 and 102,342 is: 153,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,411 : 102,342 = 102,342 : x
  2. Step 2: Convert to fraction form
    68,411/102,342 = 102,342/x
  3. Step 3: Cross multiply
    68,411x = 102,342 × 102,342
  4. Step 4: Simplify right side
    68,411x = 10,473,884,964
  5. Step 5: Solve for x
    x = 10,473,884,964/68,411
  6. Step 6: Final answer
    x = 153,102.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.