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Finding the Third Proportional to 55,854 and 121,536.50

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Solution

The third proportional to 55,854 and 121,536.50 is: 264,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,854 : 121,536.50 = 121,536.50 : x
  2. Step 2: Convert to fraction form
    55,854/121,536.50 = 121,536.50/x
  3. Step 3: Cross multiply
    55,854x = 121,536.50 × 121,536.50
  4. Step 4: Simplify right side
    55,854x = 14,771,120,832.25
  5. Step 5: Solve for x
    x = 14,771,120,832.25/55,854
  6. Step 6: Final answer
    x = 264,459.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.