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Finding the Third Proportional to 43,005 and 97,160

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Solution

The third proportional to 43,005 and 97,160 is: 219,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,005 : 97,160 = 97,160 : x
  2. Step 2: Convert to fraction form
    43,005/97,160 = 97,160/x
  3. Step 3: Cross multiply
    43,005x = 97,160 × 97,160
  4. Step 4: Simplify right side
    43,005x = 9,440,065,600
  5. Step 5: Solve for x
    x = 9,440,065,600/43,005
  6. Step 6: Final answer
    x = 219,510.88

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.