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Finding the Third Proportional to 43,610 and 97,088

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Solution

The third proportional to 43,610 and 97,088 is: 216,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,610 : 97,088 = 97,088 : x
  2. Step 2: Convert to fraction form
    43,610/97,088 = 97,088/x
  3. Step 3: Cross multiply
    43,610x = 97,088 × 97,088
  4. Step 4: Simplify right side
    43,610x = 9,426,079,744
  5. Step 5: Solve for x
    x = 9,426,079,744/43,610
  6. Step 6: Final answer
    x = 216,144.92

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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.