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Finding the Third Proportional to 64,983 and 141,710

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Solution

The third proportional to 64,983 and 141,710 is: 309,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,983 : 141,710 = 141,710 : x
  2. Step 2: Convert to fraction form
    64,983/141,710 = 141,710/x
  3. Step 3: Cross multiply
    64,983x = 141,710 × 141,710
  4. Step 4: Simplify right side
    64,983x = 20,081,724,100
  5. Step 5: Solve for x
    x = 20,081,724,100/64,983
  6. Step 6: Final answer
    x = 309,030.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.