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Finding the Third Proportional to 42,110 and 64,712

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Solution

The third proportional to 42,110 and 64,712 is: 99,445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,110 : 64,712 = 64,712 : x
  2. Step 2: Convert to fraction form
    42,110/64,712 = 64,712/x
  3. Step 3: Cross multiply
    42,110x = 64,712 × 64,712
  4. Step 4: Simplify right side
    42,110x = 4,187,642,944
  5. Step 5: Solve for x
    x = 4,187,642,944/42,110
  6. Step 6: Final answer
    x = 99,445.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.