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Finding the Third Proportional to 59,199 and 125,053.50

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Solution

The third proportional to 59,199 and 125,053.50 is: 264,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,199 : 125,053.50 = 125,053.50 : x
  2. Step 2: Convert to fraction form
    59,199/125,053.50 = 125,053.50/x
  3. Step 3: Cross multiply
    59,199x = 125,053.50 × 125,053.50
  4. Step 4: Simplify right side
    59,199x = 15,638,377,862.25
  5. Step 5: Solve for x
    x = 15,638,377,862.25/59,199
  6. Step 6: Final answer
    x = 264,166.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.