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Finding the Third Proportional to 50,717.63 and 78,946.50

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Solution

The third proportional to 50,717.63 and 78,946.50 is: 122,887.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,717.63 : 78,946.50 = 78,946.50 : x
  2. Step 2: Convert to fraction form
    50,717.63/78,946.50 = 78,946.50/x
  3. Step 3: Cross multiply
    50,717.63x = 78,946.50 × 78,946.50
  4. Step 4: Simplify right side
    50,717.63x = 6,232,549,862.25
  5. Step 5: Solve for x
    x = 6,232,549,862.25/50,717.63
  6. Step 6: Final answer
    x = 122,887.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.