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Finding the Third Proportional to 69,602 and 129,988

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Solution

The third proportional to 69,602 and 129,988 is: 242,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,602 : 129,988 = 129,988 : x
  2. Step 2: Convert to fraction form
    69,602/129,988 = 129,988/x
  3. Step 3: Cross multiply
    69,602x = 129,988 × 129,988
  4. Step 4: Simplify right side
    69,602x = 16,896,880,144
  5. Step 5: Solve for x
    x = 16,896,880,144/69,602
  6. Step 6: Final answer
    x = 242,764.29

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.