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Finding the Third Proportional to 59,348 and 92,426

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Solution

The third proportional to 59,348 and 92,426 is: 143,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,348 : 92,426 = 92,426 : x
  2. Step 2: Convert to fraction form
    59,348/92,426 = 92,426/x
  3. Step 3: Cross multiply
    59,348x = 92,426 × 92,426
  4. Step 4: Simplify right side
    59,348x = 8,542,565,476
  5. Step 5: Solve for x
    x = 8,542,565,476/59,348
  6. Step 6: Final answer
    x = 143,940.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.