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Finding the Third Proportional to 64,563 and 94,720.50

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Solution

The third proportional to 64,563 and 94,720.50 is: 138,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,563 : 94,720.50 = 94,720.50 : x
  2. Step 2: Convert to fraction form
    64,563/94,720.50 = 94,720.50/x
  3. Step 3: Cross multiply
    64,563x = 94,720.50 × 94,720.50
  4. Step 4: Simplify right side
    64,563x = 8,971,973,120.25
  5. Step 5: Solve for x
    x = 8,971,973,120.25/64,563
  6. Step 6: Final answer
    x = 138,964.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.