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Finding the Third Proportional to 63,588 and 138,232.50

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Solution

The third proportional to 63,588 and 138,232.50 is: 300,500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,588 : 138,232.50 = 138,232.50 : x
  2. Step 2: Convert to fraction form
    63,588/138,232.50 = 138,232.50/x
  3. Step 3: Cross multiply
    63,588x = 138,232.50 × 138,232.50
  4. Step 4: Simplify right side
    63,588x = 19,108,224,056.25
  5. Step 5: Solve for x
    x = 19,108,224,056.25/63,588
  6. Step 6: Final answer
    x = 300,500.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.