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Finding the Third Proportional to 60,426 and 129,602

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Solution

The third proportional to 60,426 and 129,602 is: 277,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,426 : 129,602 = 129,602 : x
  2. Step 2: Convert to fraction form
    60,426/129,602 = 129,602/x
  3. Step 3: Cross multiply
    60,426x = 129,602 × 129,602
  4. Step 4: Simplify right side
    60,426x = 16,796,678,404
  5. Step 5: Solve for x
    x = 16,796,678,404/60,426
  6. Step 6: Final answer
    x = 277,971.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.