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Finding the Third Proportional to 97,088.91 and 131,173.17

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Solution

The third proportional to 97,088.91 and 131,173.17 is: 177,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,088.91 : 131,173.17 = 131,173.17 : x
  2. Step 2: Convert to fraction form
    97,088.91/131,173.17 = 131,173.17/x
  3. Step 3: Cross multiply
    97,088.91x = 131,173.17 × 131,173.17
  4. Step 4: Simplify right side
    97,088.91x = 17,206,401,019.75
  5. Step 5: Solve for x
    x = 17,206,401,019.75/97,088.91
  6. Step 6: Final answer
    x = 177,223.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.