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Finding the Third Proportional to 64,428 and 94,170

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Solution

The third proportional to 64,428 and 94,170 is: 137,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,428 : 94,170 = 94,170 : x
  2. Step 2: Convert to fraction form
    64,428/94,170 = 94,170/x
  3. Step 3: Cross multiply
    64,428x = 94,170 × 94,170
  4. Step 4: Simplify right side
    64,428x = 8,867,988,900
  5. Step 5: Solve for x
    x = 8,867,988,900/64,428
  6. Step 6: Final answer
    x = 137,641.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.