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Finding the Third Proportional to 51,427.13 and 112,466.25

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Solution

The third proportional to 51,427.13 and 112,466.25 is: 245,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,427.13 : 112,466.25 = 112,466.25 : x
  2. Step 2: Convert to fraction form
    51,427.13/112,466.25 = 112,466.25/x
  3. Step 3: Cross multiply
    51,427.13x = 112,466.25 × 112,466.25
  4. Step 4: Simplify right side
    51,427.13x = 12,648,657,389.06
  5. Step 5: Solve for x
    x = 12,648,657,389.06/51,427.13
  6. Step 6: Final answer
    x = 245,953.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.