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Finding the Third Proportional to 78,263.44 and 169,032.94

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Solution

The third proportional to 78,263.44 and 169,032.94 is: 365,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,263.44 : 169,032.94 = 169,032.94 : x
  2. Step 2: Convert to fraction form
    78,263.44/169,032.94 = 169,032.94/x
  3. Step 3: Cross multiply
    78,263.44x = 169,032.94 × 169,032.94
  4. Step 4: Simplify right side
    78,263.44x = 28,572,133,959.88
  5. Step 5: Solve for x
    x = 28,572,133,959.88/78,263.44
  6. Step 6: Final answer
    x = 365,076.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.