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Finding the Third Proportional to 56,913 and 122,943.50

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Solution

The third proportional to 56,913 and 122,943.50 is: 265,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,913 : 122,943.50 = 122,943.50 : x
  2. Step 2: Convert to fraction form
    56,913/122,943.50 = 122,943.50/x
  3. Step 3: Cross multiply
    56,913x = 122,943.50 × 122,943.50
  4. Step 4: Simplify right side
    56,913x = 15,115,104,192.25
  5. Step 5: Solve for x
    x = 15,115,104,192.25/56,913
  6. Step 6: Final answer
    x = 265,582.63

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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.