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Finding the Third Proportional to 52,035 and 74,356.50

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Solution

The third proportional to 52,035 and 74,356.50 is: 106,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035 : 74,356.50 = 74,356.50 : x
  2. Step 2: Convert to fraction form
    52,035/74,356.50 = 74,356.50/x
  3. Step 3: Cross multiply
    52,035x = 74,356.50 × 74,356.50
  4. Step 4: Simplify right side
    52,035x = 5,528,889,092.25
  5. Step 5: Solve for x
    x = 5,528,889,092.25/52,035
  6. Step 6: Final answer
    x = 106,253.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.