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Finding the Third Proportional to 43,128 and 65,470

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Solution

The third proportional to 43,128 and 65,470 is: 99,386.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,128 : 65,470 = 65,470 : x
  2. Step 2: Convert to fraction form
    43,128/65,470 = 65,470/x
  3. Step 3: Cross multiply
    43,128x = 65,470 × 65,470
  4. Step 4: Simplify right side
    43,128x = 4,286,320,900
  5. Step 5: Solve for x
    x = 4,286,320,900/43,128
  6. Step 6: Final answer
    x = 99,386.03

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.