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Finding the Third Proportional to 67,582 and 97,348

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Solution

The third proportional to 67,582 and 97,348 is: 140,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,582 : 97,348 = 97,348 : x
  2. Step 2: Convert to fraction form
    67,582/97,348 = 97,348/x
  3. Step 3: Cross multiply
    67,582x = 97,348 × 97,348
  4. Step 4: Simplify right side
    67,582x = 9,476,633,104
  5. Step 5: Solve for x
    x = 9,476,633,104/67,582
  6. Step 6: Final answer
    x = 140,224.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.