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Finding the Third Proportional to 64,070 and 95,580

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Solution

The third proportional to 64,070 and 95,580 is: 142,586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,070 : 95,580 = 95,580 : x
  2. Step 2: Convert to fraction form
    64,070/95,580 = 95,580/x
  3. Step 3: Cross multiply
    64,070x = 95,580 × 95,580
  4. Step 4: Simplify right side
    64,070x = 9,135,536,400
  5. Step 5: Solve for x
    x = 9,135,536,400/64,070
  6. Step 6: Final answer
    x = 142,586.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.