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Finding the Third Proportional to 64,840 and 101,580

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Solution

The third proportional to 64,840 and 101,580 is: 159,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,840 : 101,580 = 101,580 : x
  2. Step 2: Convert to fraction form
    64,840/101,580 = 101,580/x
  3. Step 3: Cross multiply
    64,840x = 101,580 × 101,580
  4. Step 4: Simplify right side
    64,840x = 10,318,496,400
  5. Step 5: Solve for x
    x = 10,318,496,400/64,840
  6. Step 6: Final answer
    x = 159,137.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.