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Finding the Third Proportional to 78,823.13 and 106,191

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Solution

The third proportional to 78,823.13 and 106,191 is: 143,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,823.13 : 106,191 = 106,191 : x
  2. Step 2: Convert to fraction form
    78,823.13/106,191 = 106,191/x
  3. Step 3: Cross multiply
    78,823.13x = 106,191 × 106,191
  4. Step 4: Simplify right side
    78,823.13x = 11,276,528,481
  5. Step 5: Solve for x
    x = 11,276,528,481/78,823.13
  6. Step 6: Final answer
    x = 143,061.17

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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.