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Finding the Third Proportional to 65,724.75 and 107,312.75

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Solution

The third proportional to 65,724.75 and 107,312.75 is: 175,215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,724.75 : 107,312.75 = 107,312.75 : x
  2. Step 2: Convert to fraction form
    65,724.75/107,312.75 = 107,312.75/x
  3. Step 3: Cross multiply
    65,724.75x = 107,312.75 × 107,312.75
  4. Step 4: Simplify right side
    65,724.75x = 11,516,026,312.56
  5. Step 5: Solve for x
    x = 11,516,026,312.56/65,724.75
  6. Step 6: Final answer
    x = 175,215.98

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.