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Finding the Third Proportional to 78,233.63 and 106,273.13

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Solution

The third proportional to 78,233.63 and 106,273.13 is: 144,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,233.63 : 106,273.13 = 106,273.13 : x
  2. Step 2: Convert to fraction form
    78,233.63/106,273.13 = 106,273.13/x
  3. Step 3: Cross multiply
    78,233.63x = 106,273.13 × 106,273.13
  4. Step 4: Simplify right side
    78,233.63x = 11,293,977,097.27
  5. Step 5: Solve for x
    x = 11,293,977,097.27/78,233.63
  6. Step 6: Final answer
    x = 144,362.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.