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Finding the Third Proportional to 43,528 and 65,127

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Solution

The third proportional to 43,528 and 65,127 is: 97,443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,528 : 65,127 = 65,127 : x
  2. Step 2: Convert to fraction form
    43,528/65,127 = 65,127/x
  3. Step 3: Cross multiply
    43,528x = 65,127 × 65,127
  4. Step 4: Simplify right side
    43,528x = 4,241,526,129
  5. Step 5: Solve for x
    x = 4,241,526,129/43,528
  6. Step 6: Final answer
    x = 97,443.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.