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Finding the Third Proportional to 61,533 and 145,174.50

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Solution

The third proportional to 61,533 and 145,174.50 is: 342,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,533 : 145,174.50 = 145,174.50 : x
  2. Step 2: Convert to fraction form
    61,533/145,174.50 = 145,174.50/x
  3. Step 3: Cross multiply
    61,533x = 145,174.50 × 145,174.50
  4. Step 4: Simplify right side
    61,533x = 21,075,635,450.25
  5. Step 5: Solve for x
    x = 21,075,635,450.25/61,533
  6. Step 6: Final answer
    x = 342,509.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.