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Finding the Third Proportional to 56,386.13 and 121,586.63

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Solution

The third proportional to 56,386.13 and 121,586.63 is: 262,179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,386.13 : 121,586.63 = 121,586.63 : x
  2. Step 2: Convert to fraction form
    56,386.13/121,586.63 = 121,586.63/x
  3. Step 3: Cross multiply
    56,386.13x = 121,586.63 × 121,586.63
  4. Step 4: Simplify right side
    56,386.13x = 14,783,307,378.89
  5. Step 5: Solve for x
    x = 14,783,307,378.89/56,386.13
  6. Step 6: Final answer
    x = 262,179.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.