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Finding the Third Proportional to 70,596 and 110,062.13

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Solution

The third proportional to 70,596 and 110,062.13 is: 171,591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,596 : 110,062.13 = 110,062.13 : x
  2. Step 2: Convert to fraction form
    70,596/110,062.13 = 110,062.13/x
  3. Step 3: Cross multiply
    70,596x = 110,062.13 × 110,062.13
  4. Step 4: Simplify right side
    70,596x = 12,113,671,359.52
  5. Step 5: Solve for x
    x = 12,113,671,359.52/70,596
  6. Step 6: Final answer
    x = 171,591.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.