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Finding the Third Proportional to 118,521 and 173,101.50

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Solution

The third proportional to 118,521 and 173,101.50 is: 252,817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,521 : 173,101.50 = 173,101.50 : x
  2. Step 2: Convert to fraction form
    118,521/173,101.50 = 173,101.50/x
  3. Step 3: Cross multiply
    118,521x = 173,101.50 × 173,101.50
  4. Step 4: Simplify right side
    118,521x = 29,964,129,302.25
  5. Step 5: Solve for x
    x = 29,964,129,302.25/118,521
  6. Step 6: Final answer
    x = 252,817.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.