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Finding the Third Proportional to 67,580 and 97,347.25

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Solution

The third proportional to 67,580 and 97,347.25 is: 140,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,580 : 97,347.25 = 97,347.25 : x
  2. Step 2: Convert to fraction form
    67,580/97,347.25 = 97,347.25/x
  3. Step 3: Cross multiply
    67,580x = 97,347.25 × 97,347.25
  4. Step 4: Simplify right side
    67,580x = 9,476,487,082.56
  5. Step 5: Solve for x
    x = 9,476,487,082.56/67,580
  6. Step 6: Final answer
    x = 140,226.21

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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.