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Finding the Third Proportional to 75,856.50 and 109,263.94

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Solution

The third proportional to 75,856.50 and 109,263.94 is: 157,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,856.50 : 109,263.94 = 109,263.94 : x
  2. Step 2: Convert to fraction form
    75,856.50/109,263.94 = 109,263.94/x
  3. Step 3: Cross multiply
    75,856.50x = 109,263.94 × 109,263.94
  4. Step 4: Simplify right side
    75,856.50x = 11,938,608,038.00
  5. Step 5: Solve for x
    x = 11,938,608,038.00/75,856.50
  6. Step 6: Final answer
    x = 157,384.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.