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Finding the Third Proportional to 56,499.19 and 121,648.50

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Solution

The third proportional to 56,499.19 and 121,648.50 is: 261,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,499.19 : 121,648.50 = 121,648.50 : x
  2. Step 2: Convert to fraction form
    56,499.19/121,648.50 = 121,648.50/x
  3. Step 3: Cross multiply
    56,499.19x = 121,648.50 × 121,648.50
  4. Step 4: Simplify right side
    56,499.19x = 14,798,357,552.25
  5. Step 5: Solve for x
    x = 14,798,357,552.25/56,499.19
  6. Step 6: Final answer
    x = 261,921.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.