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Finding the Third Proportional to 56,041.88 and 121,420.13

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Solution

The third proportional to 56,041.88 and 121,420.13 is: 263,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,041.88 : 121,420.13 = 121,420.13 : x
  2. Step 2: Convert to fraction form
    56,041.88/121,420.13 = 121,420.13/x
  3. Step 3: Cross multiply
    56,041.88x = 121,420.13 × 121,420.13
  4. Step 4: Simplify right side
    56,041.88x = 14,742,846,755.02
  5. Step 5: Solve for x
    x = 14,742,846,755.02/56,041.88
  6. Step 6: Final answer
    x = 263,068.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.