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Finding the Third Proportional to 51,030.75 and 112,024.50

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Solution

The third proportional to 51,030.75 and 112,024.50 is: 245,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,030.75 : 112,024.50 = 112,024.50 : x
  2. Step 2: Convert to fraction form
    51,030.75/112,024.50 = 112,024.50/x
  3. Step 3: Cross multiply
    51,030.75x = 112,024.50 × 112,024.50
  4. Step 4: Simplify right side
    51,030.75x = 12,549,488,600.25
  5. Step 5: Solve for x
    x = 12,549,488,600.25/51,030.75
  6. Step 6: Final answer
    x = 245,920.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.