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Finding the Third Proportional to 51,201 and 75,829.50

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Solution

The third proportional to 51,201 and 75,829.50 is: 112,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,201 : 75,829.50 = 75,829.50 : x
  2. Step 2: Convert to fraction form
    51,201/75,829.50 = 75,829.50/x
  3. Step 3: Cross multiply
    51,201x = 75,829.50 × 75,829.50
  4. Step 4: Simplify right side
    51,201x = 5,750,113,070.25
  5. Step 5: Solve for x
    x = 5,750,113,070.25/51,201
  6. Step 6: Final answer
    x = 112,304.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.