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Finding the Third Proportional to 43,106 and 64,712

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Solution

The third proportional to 43,106 and 64,712 is: 97,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,106 : 64,712 = 64,712 : x
  2. Step 2: Convert to fraction form
    43,106/64,712 = 64,712/x
  3. Step 3: Cross multiply
    43,106x = 64,712 × 64,712
  4. Step 4: Simplify right side
    43,106x = 4,187,642,944
  5. Step 5: Solve for x
    x = 4,187,642,944/43,106
  6. Step 6: Final answer
    x = 97,147.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.