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Finding the Third Proportional to 71,955 and 120,730.50

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Solution

The third proportional to 71,955 and 120,730.50 is: 202,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,955 : 120,730.50 = 120,730.50 : x
  2. Step 2: Convert to fraction form
    71,955/120,730.50 = 120,730.50/x
  3. Step 3: Cross multiply
    71,955x = 120,730.50 × 120,730.50
  4. Step 4: Simplify right side
    71,955x = 14,575,853,630.25
  5. Step 5: Solve for x
    x = 14,575,853,630.25/71,955
  6. Step 6: Final answer
    x = 202,569.02

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.