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Finding the Third Proportional to 69,042 and 147,920

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Solution

The third proportional to 69,042 and 147,920 is: 316,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,042 : 147,920 = 147,920 : x
  2. Step 2: Convert to fraction form
    69,042/147,920 = 147,920/x
  3. Step 3: Cross multiply
    69,042x = 147,920 × 147,920
  4. Step 4: Simplify right side
    69,042x = 21,880,326,400
  5. Step 5: Solve for x
    x = 21,880,326,400/69,042
  6. Step 6: Final answer
    x = 316,913.28

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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.