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Finding the Third Proportional to 64,425.75 and 97,529.63

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Solution

The third proportional to 64,425.75 and 97,529.63 is: 147,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,425.75 : 97,529.63 = 97,529.63 : x
  2. Step 2: Convert to fraction form
    64,425.75/97,529.63 = 97,529.63/x
  3. Step 3: Cross multiply
    64,425.75x = 97,529.63 × 97,529.63
  4. Step 4: Simplify right side
    64,425.75x = 9,512,027,752.64
  5. Step 5: Solve for x
    x = 9,512,027,752.64/64,425.75
  6. Step 6: Final answer
    x = 147,643.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.