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Finding the Third Proportional to 56,308.50 and 122,352

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Solution

The third proportional to 56,308.50 and 122,352 is: 265,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,308.50 : 122,352 = 122,352 : x
  2. Step 2: Convert to fraction form
    56,308.50/122,352 = 122,352/x
  3. Step 3: Cross multiply
    56,308.50x = 122,352 × 122,352
  4. Step 4: Simplify right side
    56,308.50x = 14,970,011,904
  5. Step 5: Solve for x
    x = 14,970,011,904/56,308.50
  6. Step 6: Final answer
    x = 265,857.05

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