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Finding the Third Proportional to 50,152.50 and 77,905.13

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Solution

The third proportional to 50,152.50 and 77,905.13 is: 121,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,152.50 : 77,905.13 = 77,905.13 : x
  2. Step 2: Convert to fraction form
    50,152.50/77,905.13 = 77,905.13/x
  3. Step 3: Cross multiply
    50,152.50x = 77,905.13 × 77,905.13
  4. Step 4: Simplify right side
    50,152.50x = 6,069,208,501.27
  5. Step 5: Solve for x
    x = 6,069,208,501.27/50,152.50
  6. Step 6: Final answer
    x = 121,015.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.