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Finding the Third Proportional to 87,527.50 and 97,369

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Solution

The third proportional to 87,527.50 and 97,369 is: 108,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,527.50 : 97,369 = 97,369 : x
  2. Step 2: Convert to fraction form
    87,527.50/97,369 = 97,369/x
  3. Step 3: Cross multiply
    87,527.50x = 97,369 × 97,369
  4. Step 4: Simplify right side
    87,527.50x = 9,480,722,161
  5. Step 5: Solve for x
    x = 9,480,722,161/87,527.50
  6. Step 6: Final answer
    x = 108,317.07

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.