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Finding the Third Proportional to 42,514 and 69,308

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Solution

The third proportional to 42,514 and 69,308 is: 112,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,514 : 69,308 = 69,308 : x
  2. Step 2: Convert to fraction form
    42,514/69,308 = 69,308/x
  3. Step 3: Cross multiply
    42,514x = 69,308 × 69,308
  4. Step 4: Simplify right side
    42,514x = 4,803,598,864
  5. Step 5: Solve for x
    x = 4,803,598,864/42,514
  6. Step 6: Final answer
    x = 112,988.64

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.