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Finding the Third Proportional to 52,995 and 74,277.50

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Solution

The third proportional to 52,995 and 74,277.50 is: 104,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,995 : 74,277.50 = 74,277.50 : x
  2. Step 2: Convert to fraction form
    52,995/74,277.50 = 74,277.50/x
  3. Step 3: Cross multiply
    52,995x = 74,277.50 × 74,277.50
  4. Step 4: Simplify right side
    52,995x = 5,517,147,006.25
  5. Step 5: Solve for x
    x = 5,517,147,006.25/52,995
  6. Step 6: Final answer
    x = 104,106.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.