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Finding the Third Proportional to 65,672 and 93,900

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Solution

The third proportional to 65,672 and 93,900 is: 134,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,672 : 93,900 = 93,900 : x
  2. Step 2: Convert to fraction form
    65,672/93,900 = 93,900/x
  3. Step 3: Cross multiply
    65,672x = 93,900 × 93,900
  4. Step 4: Simplify right side
    65,672x = 8,817,210,000
  5. Step 5: Solve for x
    x = 8,817,210,000/65,672
  6. Step 6: Final answer
    x = 134,261.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.