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Finding the Third Proportional to 32,200.75 and 70,129

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Solution

The third proportional to 32,200.75 and 70,129 is: 152,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.75 : 70,129 = 70,129 : x
  2. Step 2: Convert to fraction form
    32,200.75/70,129 = 70,129/x
  3. Step 3: Cross multiply
    32,200.75x = 70,129 × 70,129
  4. Step 4: Simplify right side
    32,200.75x = 4,918,076,641
  5. Step 5: Solve for x
    x = 4,918,076,641/32,200.75
  6. Step 6: Final answer
    x = 152,731.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.