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Finding the Third Proportional to 43,602 and 97,065

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Solution

The third proportional to 43,602 and 97,065 is: 216,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,602 : 97,065 = 97,065 : x
  2. Step 2: Convert to fraction form
    43,602/97,065 = 97,065/x
  3. Step 3: Cross multiply
    43,602x = 97,065 × 97,065
  4. Step 4: Simplify right side
    43,602x = 9,421,614,225
  5. Step 5: Solve for x
    x = 9,421,614,225/43,602
  6. Step 6: Final answer
    x = 216,082.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.