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Finding the Third Proportional to 51,313.50 and 112,428

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Solution

The third proportional to 51,313.50 and 112,428 is: 246,330.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,313.50 : 112,428 = 112,428 : x
  2. Step 2: Convert to fraction form
    51,313.50/112,428 = 112,428/x
  3. Step 3: Cross multiply
    51,313.50x = 112,428 × 112,428
  4. Step 4: Simplify right side
    51,313.50x = 12,640,055,184
  5. Step 5: Solve for x
    x = 12,640,055,184/51,313.50
  6. Step 6: Final answer
    x = 246,330.01

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