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Finding the Third Proportional to 70,062 and 96,343

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Solution

The third proportional to 70,062 and 96,343 is: 132,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,062 : 96,343 = 96,343 : x
  2. Step 2: Convert to fraction form
    70,062/96,343 = 96,343/x
  3. Step 3: Cross multiply
    70,062x = 96,343 × 96,343
  4. Step 4: Simplify right side
    70,062x = 9,281,973,649
  5. Step 5: Solve for x
    x = 9,281,973,649/70,062
  6. Step 6: Final answer
    x = 132,482.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.