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Finding the Third Proportional to 61,574.50 and 132,989

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Solution

The third proportional to 61,574.50 and 132,989 is: 287,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,574.50 : 132,989 = 132,989 : x
  2. Step 2: Convert to fraction form
    61,574.50/132,989 = 132,989/x
  3. Step 3: Cross multiply
    61,574.50x = 132,989 × 132,989
  4. Step 4: Simplify right side
    61,574.50x = 17,686,074,121
  5. Step 5: Solve for x
    x = 17,686,074,121/61,574.50
  6. Step 6: Final answer
    x = 287,230.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.