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Finding the Third Proportional to 52,962.19 and 74,246.63

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Solution

The third proportional to 52,962.19 and 74,246.63 is: 104,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,962.19 : 74,246.63 = 74,246.63 : x
  2. Step 2: Convert to fraction form
    52,962.19/74,246.63 = 74,246.63/x
  3. Step 3: Cross multiply
    52,962.19x = 74,246.63 × 74,246.63
  4. Step 4: Simplify right side
    52,962.19x = 5,512,561,323.89
  5. Step 5: Solve for x
    x = 5,512,561,323.89/52,962.19
  6. Step 6: Final answer
    x = 104,084.85

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