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Finding the Third Proportional to 61,327.13 and 114,225.19

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Solution

The third proportional to 61,327.13 and 114,225.19 is: 212,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,327.13 : 114,225.19 = 114,225.19 : x
  2. Step 2: Convert to fraction form
    61,327.13/114,225.19 = 114,225.19/x
  3. Step 3: Cross multiply
    61,327.13x = 114,225.19 × 114,225.19
  4. Step 4: Simplify right side
    61,327.13x = 13,047,393,459.41
  5. Step 5: Solve for x
    x = 13,047,393,459.41/61,327.13
  6. Step 6: Final answer
    x = 212,750.78

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.