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Finding the Third Proportional to 75,580 and 156,056

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Solution

The third proportional to 75,580 and 156,056 is: 322,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,580 : 156,056 = 156,056 : x
  2. Step 2: Convert to fraction form
    75,580/156,056 = 156,056/x
  3. Step 3: Cross multiply
    75,580x = 156,056 × 156,056
  4. Step 4: Simplify right side
    75,580x = 24,353,475,136
  5. Step 5: Solve for x
    x = 24,353,475,136/75,580
  6. Step 6: Final answer
    x = 322,221.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.