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Finding the Third Proportional to 60,907.50 and 93,740

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Solution

The third proportional to 60,907.50 and 93,740 is: 144,271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,907.50 : 93,740 = 93,740 : x
  2. Step 2: Convert to fraction form
    60,907.50/93,740 = 93,740/x
  3. Step 3: Cross multiply
    60,907.50x = 93,740 × 93,740
  4. Step 4: Simplify right side
    60,907.50x = 8,787,187,600
  5. Step 5: Solve for x
    x = 8,787,187,600/60,907.50
  6. Step 6: Final answer
    x = 144,271.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.