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Finding the Third Proportional to 67,580 and 156,430

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Solution

The third proportional to 67,580 and 156,430 is: 362,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,580 : 156,430 = 156,430 : x
  2. Step 2: Convert to fraction form
    67,580/156,430 = 156,430/x
  3. Step 3: Cross multiply
    67,580x = 156,430 × 156,430
  4. Step 4: Simplify right side
    67,580x = 24,470,344,900
  5. Step 5: Solve for x
    x = 24,470,344,900/67,580
  6. Step 6: Final answer
    x = 362,094.48

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.