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Finding the Third Proportional to 64,710 and 142,110

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Solution

The third proportional to 64,710 and 142,110 is: 312,088.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,710 : 142,110 = 142,110 : x
  2. Step 2: Convert to fraction form
    64,710/142,110 = 142,110/x
  3. Step 3: Cross multiply
    64,710x = 142,110 × 142,110
  4. Step 4: Simplify right side
    64,710x = 20,195,252,100
  5. Step 5: Solve for x
    x = 20,195,252,100/64,710
  6. Step 6: Final answer
    x = 312,088.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.