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Finding the Third Proportional to 64,299.50 and 137,465.50

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Solution

The third proportional to 64,299.50 and 137,465.50 is: 293,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,299.50 : 137,465.50 = 137,465.50 : x
  2. Step 2: Convert to fraction form
    64,299.50/137,465.50 = 137,465.50/x
  3. Step 3: Cross multiply
    64,299.50x = 137,465.50 × 137,465.50
  4. Step 4: Simplify right side
    64,299.50x = 18,896,763,690.25
  5. Step 5: Solve for x
    x = 18,896,763,690.25/64,299.50
  6. Step 6: Final answer
    x = 293,886.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.